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Finding the Fourth Proportional to 132,355.84, 182,655.46 and 77,898.17

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Solution

The fourth proportional to 132,355.84, 182,655.46 and 77,898.17 is: 107,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,355.84 : 182,655.46 = 77,898.17 : x
  2. Step 2: Convert to fraction form
    132,355.84/182,655.46 = 77,898.17/x
  3. Step 3: Cross multiply
    132,355.84x = 182,655.46 × 77,898.17
  4. Step 4: Simplify right side
    132,355.84x = 14,228,526,847.61
  5. Step 5: Solve for x
    x = 14,228,526,847.61/132,355.84
  6. Step 6: Final answer
    x = 107,502.07

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Why These Related Problems?

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