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Finding the Fourth Proportional to 242,651.76, 363,731.28 and 92,853.60

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Solution

The fourth proportional to 242,651.76, 363,731.28 and 92,853.60 is: 139,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,651.76 : 363,731.28 = 92,853.60 : x
  2. Step 2: Convert to fraction form
    242,651.76/363,731.28 = 92,853.60/x
  3. Step 3: Cross multiply
    242,651.76x = 363,731.28 × 92,853.60
  4. Step 4: Simplify right side
    242,651.76x = 33,773,758,780.61
  5. Step 5: Solve for x
    x = 33,773,758,780.61/242,651.76
  6. Step 6: Final answer
    x = 139,186.13

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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.