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Finding the Fourth Proportional to 110,523.90, 152,541.45 and 65,213.11

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Solution

The fourth proportional to 110,523.90, 152,541.45 and 65,213.11 is: 90,004.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,523.90 : 152,541.45 = 65,213.11 : x
  2. Step 2: Convert to fraction form
    110,523.90/152,541.45 = 65,213.11/x
  3. Step 3: Cross multiply
    110,523.90x = 152,541.45 × 65,213.11
  4. Step 4: Simplify right side
    110,523.90x = 9,947,702,549.09
  5. Step 5: Solve for x
    x = 9,947,702,549.09/110,523.90
  6. Step 6: Final answer
    x = 90,004.99

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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.