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Finding the Fourth Proportional to 150,031.16, 206,972.52 and 107,020.16

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Solution

The fourth proportional to 150,031.16, 206,972.52 and 107,020.16 is: 147,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,031.16 : 206,972.52 = 107,020.16 : x
  2. Step 2: Convert to fraction form
    150,031.16/206,972.52 = 107,020.16/x
  3. Step 3: Cross multiply
    150,031.16x = 206,972.52 × 107,020.16
  4. Step 4: Simplify right side
    150,031.16x = 22,150,232,206.00
  5. Step 5: Solve for x
    x = 22,150,232,206.00/150,031.16
  6. Step 6: Final answer
    x = 147,637.55

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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.