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Finding the Fourth Proportional to 96,149.64, 144,068.94 and 78,627.72

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Solution

The fourth proportional to 96,149.64, 144,068.94 and 78,627.72 is: 117,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,149.64 : 144,068.94 = 78,627.72 : x
  2. Step 2: Convert to fraction form
    96,149.64/144,068.94 = 78,627.72/x
  3. Step 3: Cross multiply
    96,149.64x = 144,068.94 × 78,627.72
  4. Step 4: Simplify right side
    96,149.64x = 11,327,812,275.02
  5. Step 5: Solve for x
    x = 11,327,812,275.02/96,149.64
  6. Step 6: Final answer
    x = 117,814.40

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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.