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Finding the Fourth Proportional to 96,152.24, 144,032.52 and 78,446

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Solution

The fourth proportional to 96,152.24, 144,032.52 and 78,446 is: 117,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,152.24 : 144,032.52 = 78,446 : x
  2. Step 2: Convert to fraction form
    96,152.24/144,032.52 = 78,446/x
  3. Step 3: Cross multiply
    96,152.24x = 144,032.52 × 78,446
  4. Step 4: Simplify right side
    96,152.24x = 11,298,775,063.92
  5. Step 5: Solve for x
    x = 11,298,775,063.92/96,152.24
  6. Step 6: Final answer
    x = 117,509.22

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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.