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Finding the Fourth Proportional to 225,929.31, 311,526.80 and 144,148.11

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Solution

The fourth proportional to 225,929.31, 311,526.80 and 144,148.11 is: 198,761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,929.31 : 311,526.80 = 144,148.11 : x
  2. Step 2: Convert to fraction form
    225,929.31/311,526.80 = 144,148.11/x
  3. Step 3: Cross multiply
    225,929.31x = 311,526.80 × 144,148.11
  4. Step 4: Simplify right side
    225,929.31x = 44,905,998,713.61
  5. Step 5: Solve for x
    x = 44,905,998,713.61/225,929.31
  6. Step 6: Final answer
    x = 198,761.28

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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.