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Finding the Fourth Proportional to 150,592.57, 207,822.23 and 83,523.13

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Solution

The fourth proportional to 150,592.57, 207,822.23 and 83,523.13 is: 115,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,592.57 : 207,822.23 = 83,523.13 : x
  2. Step 2: Convert to fraction form
    150,592.57/207,822.23 = 83,523.13/x
  3. Step 3: Cross multiply
    150,592.57x = 207,822.23 × 83,523.13
  4. Step 4: Simplify right side
    150,592.57x = 17,357,963,133.18
  5. Step 5: Solve for x
    x = 17,357,963,133.18/150,592.57
  6. Step 6: Final answer
    x = 115,264.41

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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.