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Finding the Fourth Proportional to 96,592, 144,901.52 and 91,280

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Solution

The fourth proportional to 96,592, 144,901.52 and 91,280 is: 136,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,592 : 144,901.52 = 91,280 : x
  2. Step 2: Convert to fraction form
    96,592/144,901.52 = 91,280/x
  3. Step 3: Cross multiply
    96,592x = 144,901.52 × 91,280
  4. Step 4: Simplify right side
    96,592x = 13,226,610,745.60
  5. Step 5: Solve for x
    x = 13,226,610,745.60/96,592
  6. Step 6: Final answer
    x = 136,932.78

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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.