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Finding the Fourth Proportional to 242,253.40, 363,077.70 and 123,971.80

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Solution

The fourth proportional to 242,253.40, 363,077.70 and 123,971.80 is: 185,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,253.40 : 363,077.70 = 123,971.80 : x
  2. Step 2: Convert to fraction form
    242,253.40/363,077.70 = 123,971.80/x
  3. Step 3: Cross multiply
    242,253.40x = 363,077.70 × 123,971.80
  4. Step 4: Simplify right side
    242,253.40x = 45,011,396,008.86
  5. Step 5: Solve for x
    x = 45,011,396,008.86/242,253.40
  6. Step 6: Final answer
    x = 185,802.95

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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.