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Finding the Fourth Proportional to 116,119.32, 160,246.53 and 65,143.40

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Solution

The fourth proportional to 116,119.32, 160,246.53 and 65,143.40 is: 89,898.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,119.32 : 160,246.53 = 65,143.40 : x
  2. Step 2: Convert to fraction form
    116,119.32/160,246.53 = 65,143.40/x
  3. Step 3: Cross multiply
    116,119.32x = 160,246.53 × 65,143.40
  4. Step 4: Simplify right side
    116,119.32x = 10,439,003,001.17
  5. Step 5: Solve for x
    x = 10,439,003,001.17/116,119.32
  6. Step 6: Final answer
    x = 89,898.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.