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Finding the Fourth Proportional to 185,642.52, 278,474.91 and 52,532.88

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Solution

The fourth proportional to 185,642.52, 278,474.91 and 52,532.88 is: 78,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,642.52 : 278,474.91 = 52,532.88 : x
  2. Step 2: Convert to fraction form
    185,642.52/278,474.91 = 52,532.88/x
  3. Step 3: Cross multiply
    185,642.52x = 278,474.91 × 52,532.88
  4. Step 4: Simplify right side
    185,642.52x = 14,629,089,030.04
  5. Step 5: Solve for x
    x = 14,629,089,030.04/185,642.52
  6. Step 6: Final answer
    x = 78,802.47

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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.