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Finding the Fourth Proportional to 202,073.12, 278,812.14 and 130,437.80

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Solution

The fourth proportional to 202,073.12, 278,812.14 and 130,437.80 is: 179,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,073.12 : 278,812.14 = 130,437.80 : x
  2. Step 2: Convert to fraction form
    202,073.12/278,812.14 = 130,437.80/x
  3. Step 3: Cross multiply
    202,073.12x = 278,812.14 × 130,437.80
  4. Step 4: Simplify right side
    202,073.12x = 36,367,642,154.89
  5. Step 5: Solve for x
    x = 36,367,642,154.89/202,073.12
  6. Step 6: Final answer
    x = 179,972.69

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