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Finding the Fourth Proportional to 206,963.59, 285,397.10 and 172,959.38

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Solution

The fourth proportional to 206,963.59, 285,397.10 and 172,959.38 is: 238,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,963.59 : 285,397.10 = 172,959.38 : x
  2. Step 2: Convert to fraction form
    206,963.59/285,397.10 = 172,959.38/x
  3. Step 3: Cross multiply
    206,963.59x = 285,397.10 × 172,959.38
  4. Step 4: Simplify right side
    206,963.59x = 49,362,106,502.21
  5. Step 5: Solve for x
    x = 49,362,106,502.21/206,963.59
  6. Step 6: Final answer
    x = 238,506.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.