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Finding the Fourth Proportional to 287,882.48, 431,852.52 and 88,200.56

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Solution

The fourth proportional to 287,882.48, 431,852.52 and 88,200.56 is: 132,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,882.48 : 431,852.52 = 88,200.56 : x
  2. Step 2: Convert to fraction form
    287,882.48/431,852.52 = 88,200.56/x
  3. Step 3: Cross multiply
    287,882.48x = 431,852.52 × 88,200.56
  4. Step 4: Simplify right side
    287,882.48x = 38,089,634,101.41
  5. Step 5: Solve for x
    x = 38,089,634,101.41/287,882.48
  6. Step 6: Final answer
    x = 132,309.66

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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.