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Finding the Fourth Proportional to 202,321.38, 303,521.13 and 77,652.66

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Solution

The fourth proportional to 202,321.38, 303,521.13 and 77,652.66 is: 116,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,321.38 : 303,521.13 = 77,652.66 : x
  2. Step 2: Convert to fraction form
    202,321.38/303,521.13 = 77,652.66/x
  3. Step 3: Cross multiply
    202,321.38x = 303,521.13 × 77,652.66
  4. Step 4: Simplify right side
    202,321.38x = 23,569,223,110.71
  5. Step 5: Solve for x
    x = 23,569,223,110.71/202,321.38
  6. Step 6: Final answer
    x = 116,493.98

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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.