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Finding the Fourth Proportional to 202,997.14, 304,526.50 and 147,257.86

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Solution

The fourth proportional to 202,997.14, 304,526.50 and 147,257.86 is: 220,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,997.14 : 304,526.50 = 147,257.86 : x
  2. Step 2: Convert to fraction form
    202,997.14/304,526.50 = 147,257.86/x
  3. Step 3: Cross multiply
    202,997.14x = 304,526.50 × 147,257.86
  4. Step 4: Simplify right side
    202,997.14x = 44,843,920,703.29
  5. Step 5: Solve for x
    x = 44,843,920,703.29/202,997.14
  6. Step 6: Final answer
    x = 220,909.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.