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Finding the Fourth Proportional to 116,766.32, 161,138.80 and 66,465.68

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Solution

The fourth proportional to 116,766.32, 161,138.80 and 66,465.68 is: 91,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,766.32 : 161,138.80 = 66,465.68 : x
  2. Step 2: Convert to fraction form
    116,766.32/161,138.80 = 66,465.68/x
  3. Step 3: Cross multiply
    116,766.32x = 161,138.80 × 66,465.68
  4. Step 4: Simplify right side
    116,766.32x = 10,710,199,916.38
  5. Step 5: Solve for x
    x = 10,710,199,916.38/116,766.32
  6. Step 6: Final answer
    x = 91,723.37

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Why These Related Problems?

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