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Finding the Fourth Proportional to 108,538.30, 162,807.45 and 66,547.90

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Solution

The fourth proportional to 108,538.30, 162,807.45 and 66,547.90 is: 99,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,538.30 : 162,807.45 = 66,547.90 : x
  2. Step 2: Convert to fraction form
    108,538.30/162,807.45 = 66,547.90/x
  3. Step 3: Cross multiply
    108,538.30x = 162,807.45 × 66,547.90
  4. Step 4: Simplify right side
    108,538.30x = 10,834,493,901.86
  5. Step 5: Solve for x
    x = 10,834,493,901.86/108,538.30
  6. Step 6: Final answer
    x = 99,821.85

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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.