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Finding the Fourth Proportional to 242,555.30, 363,824.74 and 74,068.82

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Solution

The fourth proportional to 242,555.30, 363,824.74 and 74,068.82 is: 111,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,555.30 : 363,824.74 = 74,068.82 : x
  2. Step 2: Convert to fraction form
    242,555.30/363,824.74 = 74,068.82/x
  3. Step 3: Cross multiply
    242,555.30x = 363,824.74 × 74,068.82
  4. Step 4: Simplify right side
    242,555.30x = 26,948,069,178.61
  5. Step 5: Solve for x
    x = 26,948,069,178.61/242,555.30
  6. Step 6: Final answer
    x = 111,100.72

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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.