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Finding the Fourth Proportional to 185,661.63, 278,507.16 and 52,542.72

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Solution

The fourth proportional to 185,661.63, 278,507.16 and 52,542.72 is: 78,818.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,661.63 : 278,507.16 = 52,542.72 : x
  2. Step 2: Convert to fraction form
    185,661.63/278,507.16 = 52,542.72/x
  3. Step 3: Cross multiply
    185,661.63x = 278,507.16 × 52,542.72
  4. Step 4: Simplify right side
    185,661.63x = 14,633,523,725.88
  5. Step 5: Solve for x
    x = 14,633,523,725.88/185,661.63
  6. Step 6: Final answer
    x = 78,818.24

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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.