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Finding the Fourth Proportional to 150,593, 207,818.34 and 83,525

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Solution

The fourth proportional to 150,593, 207,818.34 and 83,525 is: 115,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,593 : 207,818.34 = 83,525 : x
  2. Step 2: Convert to fraction form
    150,593/207,818.34 = 83,525/x
  3. Step 3: Cross multiply
    150,593x = 207,818.34 × 83,525
  4. Step 4: Simplify right side
    150,593x = 17,358,026,848.50
  5. Step 5: Solve for x
    x = 17,358,026,848.50/150,593
  6. Step 6: Final answer
    x = 115,264.50

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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.