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Finding the Fourth Proportional to 261,005.40, 391,508.10 and 83,518.20

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Solution

The fourth proportional to 261,005.40, 391,508.10 and 83,518.20 is: 125,277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,005.40 : 391,508.10 = 83,518.20 : x
  2. Step 2: Convert to fraction form
    261,005.40/391,508.10 = 83,518.20/x
  3. Step 3: Cross multiply
    261,005.40x = 391,508.10 × 83,518.20
  4. Step 4: Simplify right side
    261,005.40x = 32,698,051,797.42
  5. Step 5: Solve for x
    x = 32,698,051,797.42/261,005.40
  6. Step 6: Final answer
    x = 125,277.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.