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Finding the Fourth Proportional to 132,959.16, 199,387.35 and 51,896.16

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Solution

The fourth proportional to 132,959.16, 199,387.35 and 51,896.16 is: 77,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,959.16 : 199,387.35 = 51,896.16 : x
  2. Step 2: Convert to fraction form
    132,959.16/199,387.35 = 51,896.16/x
  3. Step 3: Cross multiply
    132,959.16x = 199,387.35 × 51,896.16
  4. Step 4: Simplify right side
    132,959.16x = 10,347,437,817.58
  5. Step 5: Solve for x
    x = 10,347,437,817.58/132,959.16
  6. Step 6: Final answer
    x = 77,824.18

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1.5x scale

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.