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Finding the Fourth Proportional to 242,901.85, 364,363.71 and 74,409.90

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Solution

The fourth proportional to 242,901.85, 364,363.71 and 74,409.90 is: 111,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,901.85 : 364,363.71 = 74,409.90 : x
  2. Step 2: Convert to fraction form
    242,901.85/364,363.71 = 74,409.90/x
  3. Step 3: Cross multiply
    242,901.85x = 364,363.71 × 74,409.90
  4. Step 4: Simplify right side
    242,901.85x = 27,112,267,224.73
  5. Step 5: Solve for x
    x = 27,112,267,224.73/242,901.85
  6. Step 6: Final answer
    x = 111,618.20

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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.