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Finding the Fourth Proportional to 150,684.30, 207,946.49 and 82,700.04

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Solution

The fourth proportional to 150,684.30, 207,946.49 and 82,700.04 is: 114,127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,684.30 : 207,946.49 = 82,700.04 : x
  2. Step 2: Convert to fraction form
    150,684.30/207,946.49 = 82,700.04/x
  3. Step 3: Cross multiply
    150,684.30x = 207,946.49 × 82,700.04
  4. Step 4: Simplify right side
    150,684.30x = 17,197,182,702.65
  5. Step 5: Solve for x
    x = 17,197,182,702.65/150,684.30
  6. Step 6: Final answer
    x = 114,127.24

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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.