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Finding the Fourth Proportional to 161,724.96, 242,578.80 and 43,394.40

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Solution

The fourth proportional to 161,724.96, 242,578.80 and 43,394.40 is: 65,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,724.96 : 242,578.80 = 43,394.40 : x
  2. Step 2: Convert to fraction form
    161,724.96/242,578.80 = 43,394.40/x
  3. Step 3: Cross multiply
    161,724.96x = 242,578.80 × 43,394.40
  4. Step 4: Simplify right side
    161,724.96x = 10,526,561,478.72
  5. Step 5: Solve for x
    x = 10,526,561,478.72/161,724.96
  6. Step 6: Final answer
    x = 65,089.28

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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.