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Finding the Fourth Proportional to 260,098.60, 390,204.60 and 147,832.60

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Solution

The fourth proportional to 260,098.60, 390,204.60 and 147,832.60 is: 221,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,098.60 : 390,204.60 = 147,832.60 : x
  2. Step 2: Convert to fraction form
    260,098.60/390,204.60 = 147,832.60/x
  3. Step 3: Cross multiply
    260,098.60x = 390,204.60 × 147,832.60
  4. Step 4: Simplify right side
    260,098.60x = 57,684,960,549.96
  5. Step 5: Solve for x
    x = 57,684,960,549.96/260,098.60
  6. Step 6: Final answer
    x = 221,781.13

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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.