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Finding the Fourth Proportional to 242,033.54, 363,084.87 and 75,834.50

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Solution

The fourth proportional to 242,033.54, 363,084.87 and 75,834.50 is: 113,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,033.54 : 363,084.87 = 75,834.50 : x
  2. Step 2: Convert to fraction form
    242,033.54/363,084.87 = 75,834.50/x
  3. Step 3: Cross multiply
    242,033.54x = 363,084.87 × 75,834.50
  4. Step 4: Simplify right side
    242,033.54x = 27,534,359,574.02
  5. Step 5: Solve for x
    x = 27,534,359,574.02/242,033.54
  6. Step 6: Final answer
    x = 113,762.58

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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.