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Finding the Fourth Proportional to 257,184.22, 354,919.92 and 146,800.62

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Solution

The fourth proportional to 257,184.22, 354,919.92 and 146,800.62 is: 202,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,184.22 : 354,919.92 = 146,800.62 : x
  2. Step 2: Convert to fraction form
    257,184.22/354,919.92 = 146,800.62/x
  3. Step 3: Cross multiply
    257,184.22x = 354,919.92 × 146,800.62
  4. Step 4: Simplify right side
    257,184.22x = 52,102,464,306.35
  5. Step 5: Solve for x
    x = 52,102,464,306.35/257,184.22
  6. Step 6: Final answer
    x = 202,588.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.