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Finding the Fourth Proportional to 96,154.74, 144,036.27 and 78,448.50

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Solution

The fourth proportional to 96,154.74, 144,036.27 and 78,448.50 is: 117,512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,154.74 : 144,036.27 = 78,448.50 : x
  2. Step 2: Convert to fraction form
    96,154.74/144,036.27 = 78,448.50/x
  3. Step 3: Cross multiply
    96,154.74x = 144,036.27 × 78,448.50
  4. Step 4: Simplify right side
    96,154.74x = 11,299,429,327.10
  5. Step 5: Solve for x
    x = 11,299,429,327.10/96,154.74
  6. Step 6: Final answer
    x = 117,512.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.