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Finding the Fourth Proportional to 96,483.12, 144,947.16 and 92,497.38

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Solution

The fourth proportional to 96,483.12, 144,947.16 and 92,497.38 is: 138,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,483.12 : 144,947.16 = 92,497.38 : x
  2. Step 2: Convert to fraction form
    96,483.12/144,947.16 = 92,497.38/x
  3. Step 3: Cross multiply
    96,483.12x = 144,947.16 × 92,497.38
  4. Step 4: Simplify right side
    96,483.12x = 13,407,232,538.44
  5. Step 5: Solve for x
    x = 13,407,232,538.44/96,483.12
  6. Step 6: Final answer
    x = 138,959.36

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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.