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Finding the Fourth Proportional to 132,878, 199,317.72 and 34,382

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Solution

The fourth proportional to 132,878, 199,317.72 and 34,382 is: 51,573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,878 : 199,317.72 = 34,382 : x
  2. Step 2: Convert to fraction form
    132,878/199,317.72 = 34,382/x
  3. Step 3: Cross multiply
    132,878x = 199,317.72 × 34,382
  4. Step 4: Simplify right side
    132,878x = 6,852,941,849.04
  5. Step 5: Solve for x
    x = 6,852,941,849.04/132,878
  6. Step 6: Final answer
    x = 51,573.19

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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.