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Finding the Fourth Proportional to 238,136.84, 357,145.14 and 88,294.76

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Solution

The fourth proportional to 238,136.84, 357,145.14 and 88,294.76 is: 132,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,136.84 : 357,145.14 = 88,294.76 : x
  2. Step 2: Convert to fraction form
    238,136.84/357,145.14 = 88,294.76/x
  3. Step 3: Cross multiply
    238,136.84x = 357,145.14 × 88,294.76
  4. Step 4: Simplify right side
    238,136.84x = 31,534,044,421.47
  5. Step 5: Solve for x
    x = 31,534,044,421.47/238,136.84
  6. Step 6: Final answer
    x = 132,419.85

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Why These Related Problems?

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