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Finding the Fourth Proportional to 231,132.29, 346,808.39 and 160,164.14

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Solution

The fourth proportional to 231,132.29, 346,808.39 and 160,164.14 is: 240,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,132.29 : 346,808.39 = 160,164.14 : x
  2. Step 2: Convert to fraction form
    231,132.29/346,808.39 = 160,164.14/x
  3. Step 3: Cross multiply
    231,132.29x = 346,808.39 × 160,164.14
  4. Step 4: Simplify right side
    231,132.29x = 55,546,264,994.27
  5. Step 5: Solve for x
    x = 55,546,264,994.27/231,132.29
  6. Step 6: Final answer
    x = 240,322.40

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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.