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Finding the Fourth Proportional to 147,175.86, 220,630.68 and 53,659.74

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Solution

The fourth proportional to 147,175.86, 220,630.68 and 53,659.74 is: 80,441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,175.86 : 220,630.68 = 53,659.74 : x
  2. Step 2: Convert to fraction form
    147,175.86/220,630.68 = 53,659.74/x
  3. Step 3: Cross multiply
    147,175.86x = 220,630.68 × 53,659.74
  4. Step 4: Simplify right side
    147,175.86x = 11,838,984,924.82
  5. Step 5: Solve for x
    x = 11,838,984,924.82/147,175.86
  6. Step 6: Final answer
    x = 80,441.08

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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.