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Finding the Fourth Proportional to 136,709.28, 205,073.64 and 41,927.16

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Solution

The fourth proportional to 136,709.28, 205,073.64 and 41,927.16 is: 62,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,709.28 : 205,073.64 = 41,927.16 : x
  2. Step 2: Convert to fraction form
    136,709.28/205,073.64 = 41,927.16/x
  3. Step 3: Cross multiply
    136,709.28x = 205,073.64 × 41,927.16
  4. Step 4: Simplify right side
    136,709.28x = 8,598,155,316.06
  5. Step 5: Solve for x
    x = 8,598,155,316.06/136,709.28
  6. Step 6: Final answer
    x = 62,893.72

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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.