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Finding the Fourth Proportional to 242,560.62, 363,879.81 and 102,339.90

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Solution

The fourth proportional to 242,560.62, 363,879.81 and 102,339.90 is: 153,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,560.62 : 363,879.81 = 102,339.90 : x
  2. Step 2: Convert to fraction form
    242,560.62/363,879.81 = 102,339.90/x
  3. Step 3: Cross multiply
    242,560.62x = 363,879.81 × 102,339.90
  4. Step 4: Simplify right side
    242,560.62x = 37,239,423,367.42
  5. Step 5: Solve for x
    x = 37,239,423,367.42/242,560.62
  6. Step 6: Final answer
    x = 153,526.25

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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.