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Finding the Fourth Proportional to 136,357.17, 204,535.89 and 65,263.11

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Solution

The fourth proportional to 136,357.17, 204,535.89 and 65,263.11 is: 97,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,357.17 : 204,535.89 = 65,263.11 : x
  2. Step 2: Convert to fraction form
    136,357.17/204,535.89 = 65,263.11/x
  3. Step 3: Cross multiply
    136,357.17x = 204,535.89 × 65,263.11
  4. Step 4: Simplify right side
    136,357.17x = 13,348,648,288.02
  5. Step 5: Solve for x
    x = 13,348,648,288.02/136,357.17
  6. Step 6: Final answer
    x = 97,894.73

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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.