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Finding the Fourth Proportional to 292,523.40, 438,867.72 and 82,163.16

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Solution

The fourth proportional to 292,523.40, 438,867.72 and 82,163.16 is: 123,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,523.40 : 438,867.72 = 82,163.16 : x
  2. Step 2: Convert to fraction form
    292,523.40/438,867.72 = 82,163.16/x
  3. Step 3: Cross multiply
    292,523.40x = 438,867.72 × 82,163.16
  4. Step 4: Simplify right side
    292,523.40x = 36,058,758,697.20
  5. Step 5: Solve for x
    x = 36,058,758,697.20/292,523.40
  6. Step 6: Final answer
    x = 123,267.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.