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Finding the Fourth Proportional to 136,491.64, 204,688.50 and 52,275.48

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Solution

The fourth proportional to 136,491.64, 204,688.50 and 52,275.48 is: 78,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,491.64 : 204,688.50 = 52,275.48 : x
  2. Step 2: Convert to fraction form
    136,491.64/204,688.50 = 52,275.48/x
  3. Step 3: Cross multiply
    136,491.64x = 204,688.50 × 52,275.48
  4. Step 4: Simplify right side
    136,491.64x = 10,700,189,587.98
  5. Step 5: Solve for x
    x = 10,700,189,587.98/136,491.64
  6. Step 6: Final answer
    x = 78,394.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.