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Finding the Fourth Proportional to 97,842.68, 146,766.22 and 55,419.62

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Solution

The fourth proportional to 97,842.68, 146,766.22 and 55,419.62 is: 83,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,842.68 : 146,766.22 = 55,419.62 : x
  2. Step 2: Convert to fraction form
    97,842.68/146,766.22 = 55,419.62/x
  3. Step 3: Cross multiply
    97,842.68x = 146,766.22 × 55,419.62
  4. Step 4: Simplify right side
    97,842.68x = 8,133,728,141.24
  5. Step 5: Solve for x
    x = 8,133,728,141.24/97,842.68
  6. Step 6: Final answer
    x = 83,130.68

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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.