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Finding the Fourth Proportional to 106,917.20, 160,030.20 and 83,416.40

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Solution

The fourth proportional to 106,917.20, 160,030.20 and 83,416.40 is: 124,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,917.20 : 160,030.20 = 83,416.40 : x
  2. Step 2: Convert to fraction form
    106,917.20/160,030.20 = 83,416.40/x
  3. Step 3: Cross multiply
    106,917.20x = 160,030.20 × 83,416.40
  4. Step 4: Simplify right side
    106,917.20x = 13,349,143,175.28
  5. Step 5: Solve for x
    x = 13,349,143,175.28/106,917.20
  6. Step 6: Final answer
    x = 124,854.96

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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.