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Finding the Fourth Proportional to 95,898.52, 143,595.78 and 77,078.68

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Solution

The fourth proportional to 95,898.52, 143,595.78 and 77,078.68 is: 115,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,898.52 : 143,595.78 = 77,078.68 : x
  2. Step 2: Convert to fraction form
    95,898.52/143,595.78 = 77,078.68/x
  3. Step 3: Cross multiply
    95,898.52x = 143,595.78 × 77,078.68
  4. Step 4: Simplify right side
    95,898.52x = 11,068,173,175.97
  5. Step 5: Solve for x
    x = 11,068,173,175.97/95,898.52
  6. Step 6: Final answer
    x = 115,415.47

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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.