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Finding the Fourth Proportional to 96,164.76, 144,051.28 and 78,458.52

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Solution

The fourth proportional to 96,164.76, 144,051.28 and 78,458.52 is: 117,527.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,164.76 : 144,051.28 = 78,458.52 : x
  2. Step 2: Convert to fraction form
    96,164.76/144,051.28 = 78,458.52/x
  3. Step 3: Cross multiply
    96,164.76x = 144,051.28 × 78,458.52
  4. Step 4: Simplify right side
    96,164.76x = 11,302,050,232.91
  5. Step 5: Solve for x
    x = 11,302,050,232.91/96,164.76
  6. Step 6: Final answer
    x = 117,527.98

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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.