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Finding the Fourth Proportional to 161,196.30, 241,842.78 and 65,084.04

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Solution

The fourth proportional to 161,196.30, 241,842.78 and 65,084.04 is: 97,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,196.30 : 241,842.78 = 65,084.04 : x
  2. Step 2: Convert to fraction form
    161,196.30/241,842.78 = 65,084.04/x
  3. Step 3: Cross multiply
    161,196.30x = 241,842.78 × 65,084.04
  4. Step 4: Simplify right side
    161,196.30x = 15,740,105,167.23
  5. Step 5: Solve for x
    x = 15,740,105,167.23/161,196.30
  6. Step 6: Final answer
    x = 97,645.57

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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.