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Finding the Fourth Proportional to 242,404.70, 363,607.05 and 148,963.10

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Solution

The fourth proportional to 242,404.70, 363,607.05 and 148,963.10 is: 223,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,404.70 : 363,607.05 = 148,963.10 : x
  2. Step 2: Convert to fraction form
    242,404.70/363,607.05 = 148,963.10/x
  3. Step 3: Cross multiply
    242,404.70x = 363,607.05 × 148,963.10
  4. Step 4: Simplify right side
    242,404.70x = 54,164,033,349.86
  5. Step 5: Solve for x
    x = 54,164,033,349.86/242,404.70
  6. Step 6: Final answer
    x = 223,444.65

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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.