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Finding the Fourth Proportional to 96,398.70, 144,511.65 and 85,901.10

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Solution

The fourth proportional to 96,398.70, 144,511.65 and 85,901.10 is: 128,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,398.70 : 144,511.65 = 85,901.10 : x
  2. Step 2: Convert to fraction form
    96,398.70/144,511.65 = 85,901.10/x
  3. Step 3: Cross multiply
    96,398.70x = 144,511.65 × 85,901.10
  4. Step 4: Simplify right side
    96,398.70x = 12,413,709,697.82
  5. Step 5: Solve for x
    x = 12,413,709,697.82/96,398.70
  6. Step 6: Final answer
    x = 128,774.66

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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.