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Finding the Fourth Proportional to 261,070.40, 391,605.60 and 83,583.20

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Solution

The fourth proportional to 261,070.40, 391,605.60 and 83,583.20 is: 125,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,070.40 : 391,605.60 = 83,583.20 : x
  2. Step 2: Convert to fraction form
    261,070.40/391,605.60 = 83,583.20/x
  3. Step 3: Cross multiply
    261,070.40x = 391,605.60 × 83,583.20
  4. Step 4: Simplify right side
    261,070.40x = 32,731,649,185.92
  5. Step 5: Solve for x
    x = 32,731,649,185.92/261,070.40
  6. Step 6: Final answer
    x = 125,374.80

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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.