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Finding the Fourth Proportional to 357,266.10, 535,948.30 and 132,607.48

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Solution

The fourth proportional to 357,266.10, 535,948.30 and 132,607.48 is: 198,929.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,266.10 : 535,948.30 = 132,607.48 : x
  2. Step 2: Convert to fraction form
    357,266.10/535,948.30 = 132,607.48/x
  3. Step 3: Cross multiply
    357,266.10x = 535,948.30 × 132,607.48
  4. Step 4: Simplify right side
    357,266.10x = 71,070,753,473.28
  5. Step 5: Solve for x
    x = 71,070,753,473.28/357,266.10
  6. Step 6: Final answer
    x = 198,929.46

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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.