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Finding the Fourth Proportional to 178,547.80, 267,449.10 and 83,858.80

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Solution

The fourth proportional to 178,547.80, 267,449.10 and 83,858.80 is: 125,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,547.80 : 267,449.10 = 83,858.80 : x
  2. Step 2: Convert to fraction form
    178,547.80/267,449.10 = 83,858.80/x
  3. Step 3: Cross multiply
    178,547.80x = 267,449.10 × 83,858.80
  4. Step 4: Simplify right side
    178,547.80x = 22,427,960,587.08
  5. Step 5: Solve for x
    x = 22,427,960,587.08/178,547.80
  6. Step 6: Final answer
    x = 125,613.20

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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.