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Finding the Fourth Proportional to 260,456.70, 390,814.65 and 102,690.30

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Solution

The fourth proportional to 260,456.70, 390,814.65 and 102,690.30 is: 154,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,456.70 : 390,814.65 = 102,690.30 : x
  2. Step 2: Convert to fraction form
    260,456.70/390,814.65 = 102,690.30/x
  3. Step 3: Cross multiply
    260,456.70x = 390,814.65 × 102,690.30
  4. Step 4: Simplify right side
    260,456.70x = 40,132,873,652.90
  5. Step 5: Solve for x
    x = 40,132,873,652.90/260,456.70
  6. Step 6: Final answer
    x = 154,086.55

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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.