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Finding the Fourth Proportional to 242,585.61, 363,948.59 and 100,404.60

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Solution

The fourth proportional to 242,585.61, 363,948.59 and 100,404.60 is: 150,635.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,585.61 : 363,948.59 = 100,404.60 : x
  2. Step 2: Convert to fraction form
    242,585.61/363,948.59 = 100,404.60/x
  3. Step 3: Cross multiply
    242,585.61x = 363,948.59 × 100,404.60
  4. Step 4: Simplify right side
    242,585.61x = 36,542,112,599.51
  5. Step 5: Solve for x
    x = 36,542,112,599.51/242,585.61
  6. Step 6: Final answer
    x = 150,635.94

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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.