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Finding the Fourth Proportional to 156,686.40, 235,067.40 and 51,499.80

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Solution

The fourth proportional to 156,686.40, 235,067.40 and 51,499.80 is: 77,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,686.40 : 235,067.40 = 51,499.80 : x
  2. Step 2: Convert to fraction form
    156,686.40/235,067.40 = 51,499.80/x
  3. Step 3: Cross multiply
    156,686.40x = 235,067.40 × 51,499.80
  4. Step 4: Simplify right side
    156,686.40x = 12,105,924,086.52
  5. Step 5: Solve for x
    x = 12,105,924,086.52/156,686.40
  6. Step 6: Final answer
    x = 77,262.12

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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.