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Finding the Fourth Proportional to 402,177.86, 603,266.24 and 102,658.40

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Solution

The fourth proportional to 402,177.86, 603,266.24 and 102,658.40 is: 153,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,177.86 : 603,266.24 = 102,658.40 : x
  2. Step 2: Convert to fraction form
    402,177.86/603,266.24 = 102,658.40/x
  3. Step 3: Cross multiply
    402,177.86x = 603,266.24 × 102,658.40
  4. Step 4: Simplify right side
    402,177.86x = 61,930,346,972.42
  5. Step 5: Solve for x
    x = 61,930,346,972.42/402,177.86
  6. Step 6: Final answer
    x = 153,987.46

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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.