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Finding the Fourth Proportional to 106,948.70, 160,077.45 and 83,447.90

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Solution

The fourth proportional to 106,948.70, 160,077.45 and 83,447.90 is: 124,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,948.70 : 160,077.45 = 83,447.90 : x
  2. Step 2: Convert to fraction form
    106,948.70/160,077.45 = 83,447.90/x
  3. Step 3: Cross multiply
    106,948.70x = 160,077.45 × 83,447.90
  4. Step 4: Simplify right side
    106,948.70x = 13,358,127,039.86
  5. Step 5: Solve for x
    x = 13,358,127,039.86/106,948.70
  6. Step 6: Final answer
    x = 124,902.19

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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.