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Finding the Fourth Proportional to 202,345.40, 302,826.90 and 177,462.20

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Solution

The fourth proportional to 202,345.40, 302,826.90 and 177,462.20 is: 265,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,345.40 : 302,826.90 = 177,462.20 : x
  2. Step 2: Convert to fraction form
    202,345.40/302,826.90 = 177,462.20/x
  3. Step 3: Cross multiply
    202,345.40x = 302,826.90 × 177,462.20
  4. Step 4: Simplify right side
    202,345.40x = 53,740,327,893.18
  5. Step 5: Solve for x
    x = 53,740,327,893.18/202,345.40
  6. Step 6: Final answer
    x = 265,587.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.