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Finding the Fourth Proportional to 261,068.40, 391,602.60 and 83,581.20

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Solution

The fourth proportional to 261,068.40, 391,602.60 and 83,581.20 is: 125,371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,068.40 : 391,602.60 = 83,581.20 : x
  2. Step 2: Convert to fraction form
    261,068.40/391,602.60 = 83,581.20/x
  3. Step 3: Cross multiply
    261,068.40x = 391,602.60 × 83,581.20
  4. Step 4: Simplify right side
    261,068.40x = 32,730,615,231.12
  5. Step 5: Solve for x
    x = 32,730,615,231.12/261,068.40
  6. Step 6: Final answer
    x = 125,371.80

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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.