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Finding the Fourth Proportional to 141,143.40, 194,780.10 and 77,487

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Solution

The fourth proportional to 141,143.40, 194,780.10 and 77,487 is: 106,933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,143.40 : 194,780.10 = 77,487 : x
  2. Step 2: Convert to fraction form
    141,143.40/194,780.10 = 77,487/x
  3. Step 3: Cross multiply
    141,143.40x = 194,780.10 × 77,487
  4. Step 4: Simplify right side
    141,143.40x = 15,092,925,608.70
  5. Step 5: Solve for x
    x = 15,092,925,608.70/141,143.40
  6. Step 6: Final answer
    x = 106,933.27

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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.