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Finding the Fourth Proportional to 232,916.59, 321,524.67 and 160,421.19

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Solution

The fourth proportional to 232,916.59, 321,524.67 and 160,421.19 is: 221,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,916.59 : 321,524.67 = 160,421.19 : x
  2. Step 2: Convert to fraction form
    232,916.59/321,524.67 = 160,421.19/x
  3. Step 3: Cross multiply
    232,916.59x = 321,524.67 × 160,421.19
  4. Step 4: Simplify right side
    232,916.59x = 51,579,370,175.76
  5. Step 5: Solve for x
    x = 51,579,370,175.76/232,916.59
  6. Step 6: Final answer
    x = 221,449.96

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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.