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Finding the Fourth Proportional to 150,281, 207,386.29 and 81,370.13

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Solution

The fourth proportional to 150,281, 207,386.29 and 81,370.13 is: 112,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,281 : 207,386.29 = 81,370.13 : x
  2. Step 2: Convert to fraction form
    150,281/207,386.29 = 81,370.13/x
  3. Step 3: Cross multiply
    150,281x = 207,386.29 × 81,370.13
  4. Step 4: Simplify right side
    150,281x = 16,875,049,377.52
  5. Step 5: Solve for x
    x = 16,875,049,377.52/150,281
  6. Step 6: Final answer
    x = 112,289.97

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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.