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Finding the Fourth Proportional to 287,876.40, 431,776.80 and 88,216.80

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Solution

The fourth proportional to 287,876.40, 431,776.80 and 88,216.80 is: 132,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,876.40 : 431,776.80 = 88,216.80 : x
  2. Step 2: Convert to fraction form
    287,876.40/431,776.80 = 88,216.80/x
  3. Step 3: Cross multiply
    287,876.40x = 431,776.80 × 88,216.80
  4. Step 4: Simplify right side
    287,876.40x = 38,089,967,610.24
  5. Step 5: Solve for x
    x = 38,089,967,610.24/287,876.40
  6. Step 6: Final answer
    x = 132,313.62

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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.