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Finding the Fourth Proportional to 185,580.64, 278,398.24 and 67,224.16

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Solution

The fourth proportional to 185,580.64, 278,398.24 and 67,224.16 is: 100,846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,580.64 : 278,398.24 = 67,224.16 : x
  2. Step 2: Convert to fraction form
    185,580.64/278,398.24 = 67,224.16/x
  3. Step 3: Cross multiply
    185,580.64x = 278,398.24 × 67,224.16
  4. Step 4: Simplify right side
    185,580.64x = 18,715,087,829.48
  5. Step 5: Solve for x
    x = 18,715,087,829.48/185,580.64
  6. Step 6: Final answer
    x = 100,846.12

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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.