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Finding the Fourth Proportional to 202,287.16, 303,518.22 and 77,599

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Solution

The fourth proportional to 202,287.16, 303,518.22 and 77,599 is: 116,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,287.16 : 303,518.22 = 77,599 : x
  2. Step 2: Convert to fraction form
    202,287.16/303,518.22 = 77,599/x
  3. Step 3: Cross multiply
    202,287.16x = 303,518.22 × 77,599
  4. Step 4: Simplify right side
    202,287.16x = 23,552,710,353.78
  5. Step 5: Solve for x
    x = 23,552,710,353.78/202,287.16
  6. Step 6: Final answer
    x = 116,432.06

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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.