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Finding the Fourth Proportional to 231,808.60, 347,712.90 and 136,941.40

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Solution

The fourth proportional to 231,808.60, 347,712.90 and 136,941.40 is: 205,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,808.60 : 347,712.90 = 136,941.40 : x
  2. Step 2: Convert to fraction form
    231,808.60/347,712.90 = 136,941.40/x
  3. Step 3: Cross multiply
    231,808.60x = 347,712.90 × 136,941.40
  4. Step 4: Simplify right side
    231,808.60x = 47,616,291,324.06
  5. Step 5: Solve for x
    x = 47,616,291,324.06/231,808.60
  6. Step 6: Final answer
    x = 205,412.10

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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.