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Finding the Fourth Proportional to 233,324.64, 321,985.20 and 132,722.40

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Solution

The fourth proportional to 233,324.64, 321,985.20 and 132,722.40 is: 183,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,324.64 : 321,985.20 = 132,722.40 : x
  2. Step 2: Convert to fraction form
    233,324.64/321,985.20 = 132,722.40/x
  3. Step 3: Cross multiply
    233,324.64x = 321,985.20 × 132,722.40
  4. Step 4: Simplify right side
    233,324.64x = 42,734,648,508.48
  5. Step 5: Solve for x
    x = 42,734,648,508.48/233,324.64
  6. Step 6: Final answer
    x = 183,155.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.