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Finding the Fourth Proportional to 136,827.33, 205,188.69 and 65,729.71

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Solution

The fourth proportional to 136,827.33, 205,188.69 and 65,729.71 is: 98,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,827.33 : 205,188.69 = 65,729.71 : x
  2. Step 2: Convert to fraction form
    136,827.33/205,188.69 = 65,729.71/x
  3. Step 3: Cross multiply
    136,827.33x = 205,188.69 × 65,729.71
  4. Step 4: Simplify right side
    136,827.33x = 13,486,993,088.98
  5. Step 5: Solve for x
    x = 13,486,993,088.98/136,827.33
  6. Step 6: Final answer
    x = 98,569.44

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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.