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Finding the Fourth Proportional to 175,126.60, 262,301.10 and 144,022.60

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Solution

The fourth proportional to 175,126.60, 262,301.10 and 144,022.60 is: 215,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,126.60 : 262,301.10 = 144,022.60 : x
  2. Step 2: Convert to fraction form
    175,126.60/262,301.10 = 144,022.60/x
  3. Step 3: Cross multiply
    175,126.60x = 262,301.10 × 144,022.60
  4. Step 4: Simplify right side
    175,126.60x = 37,777,286,404.86
  5. Step 5: Solve for x
    x = 37,777,286,404.86/175,126.60
  6. Step 6: Final answer
    x = 215,714.15

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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.