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Finding the Fourth Proportional to 119,741.76, 179,645.04 and 97,761.60

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Solution

The fourth proportional to 119,741.76, 179,645.04 and 97,761.60 is: 146,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,741.76 : 179,645.04 = 97,761.60 : x
  2. Step 2: Convert to fraction form
    119,741.76/179,645.04 = 97,761.60/x
  3. Step 3: Cross multiply
    119,741.76x = 179,645.04 × 97,761.60
  4. Step 4: Simplify right side
    119,741.76x = 17,562,386,542.46
  5. Step 5: Solve for x
    x = 17,562,386,542.46/119,741.76
  6. Step 6: Final answer
    x = 146,668.85

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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.