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Finding the Fourth Proportional to 136,681.70, 205,022.55 and 83,920.10

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Solution

The fourth proportional to 136,681.70, 205,022.55 and 83,920.10 is: 125,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,681.70 : 205,022.55 = 83,920.10 : x
  2. Step 2: Convert to fraction form
    136,681.70/205,022.55 = 83,920.10/x
  3. Step 3: Cross multiply
    136,681.70x = 205,022.55 × 83,920.10
  4. Step 4: Simplify right side
    136,681.70x = 17,205,512,898.26
  5. Step 5: Solve for x
    x = 17,205,512,898.26/136,681.70
  6. Step 6: Final answer
    x = 125,880.15

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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.