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Finding the Fourth Proportional to 150,592.78, 207,818.16 and 83,524.78

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Solution

The fourth proportional to 150,592.78, 207,818.16 and 83,524.78 is: 115,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,592.78 : 207,818.16 = 83,524.78 : x
  2. Step 2: Convert to fraction form
    150,592.78/207,818.16 = 83,524.78/x
  3. Step 3: Cross multiply
    150,592.78x = 207,818.16 × 83,524.78
  4. Step 4: Simplify right side
    150,592.78x = 17,357,966,094.00
  5. Step 5: Solve for x
    x = 17,357,966,094.00/150,592.78
  6. Step 6: Final answer
    x = 115,264.26

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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.