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Finding the Fourth Proportional to 151,881.42, 227,854.35 and 52,014.80

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Solution

The fourth proportional to 151,881.42, 227,854.35 and 52,014.80 is: 78,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,881.42 : 227,854.35 = 52,014.80 : x
  2. Step 2: Convert to fraction form
    151,881.42/227,854.35 = 52,014.80/x
  3. Step 3: Cross multiply
    151,881.42x = 227,854.35 × 52,014.80
  4. Step 4: Simplify right side
    151,881.42x = 11,851,799,014.02
  5. Step 5: Solve for x
    x = 11,851,799,014.02/151,881.42
  6. Step 6: Final answer
    x = 78,033.24

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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.