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Finding the Fourth Proportional to 156,498.64, 234,764.88 and 49,857.45

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Solution

The fourth proportional to 156,498.64, 234,764.88 and 49,857.45 is: 74,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,498.64 : 234,764.88 = 49,857.45 : x
  2. Step 2: Convert to fraction form
    156,498.64/234,764.88 = 49,857.45/x
  3. Step 3: Cross multiply
    156,498.64x = 234,764.88 × 49,857.45
  4. Step 4: Simplify right side
    156,498.64x = 11,704,778,139.75
  5. Step 5: Solve for x
    x = 11,704,778,139.75/156,498.64
  6. Step 6: Final answer
    x = 74,791.56

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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.