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Finding the Fourth Proportional to 242,091.04, 363,136.56 and 75,892

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Solution

The fourth proportional to 242,091.04, 363,136.56 and 75,892 is: 113,838

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,091.04 : 363,136.56 = 75,892 : x
  2. Step 2: Convert to fraction form
    242,091.04/363,136.56 = 75,892/x
  3. Step 3: Cross multiply
    242,091.04x = 363,136.56 × 75,892
  4. Step 4: Simplify right side
    242,091.04x = 27,559,159,811.52
  5. Step 5: Solve for x
    x = 27,559,159,811.52/242,091.04
  6. Step 6: Final answer
    x = 113,838

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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.