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Finding the Fourth Proportional to 136,826.33, 205,187.19 and 65,728.71

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Solution

The fourth proportional to 136,826.33, 205,187.19 and 65,728.71 is: 98,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,826.33 : 205,187.19 = 65,728.71 : x
  2. Step 2: Convert to fraction form
    136,826.33/205,187.19 = 65,728.71/x
  3. Step 3: Cross multiply
    136,826.33x = 205,187.19 × 65,728.71
  4. Step 4: Simplify right side
    136,826.33x = 13,486,689,307.22
  5. Step 5: Solve for x
    x = 13,486,689,307.22/136,826.33
  6. Step 6: Final answer
    x = 98,567.94

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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.