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Finding the Fourth Proportional to 202,343.40, 302,823.90 and 177,460.20

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Solution

The fourth proportional to 202,343.40, 302,823.90 and 177,460.20 is: 265,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,343.40 : 302,823.90 = 177,460.20 : x
  2. Step 2: Convert to fraction form
    202,343.40/302,823.90 = 177,460.20/x
  3. Step 3: Cross multiply
    202,343.40x = 302,823.90 × 177,460.20
  4. Step 4: Simplify right side
    202,343.40x = 53,739,189,858.78
  5. Step 5: Solve for x
    x = 53,739,189,858.78/202,343.40
  6. Step 6: Final answer
    x = 265,584.10

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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.