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Finding the Fourth Proportional to 96,269.80, 144,475.64 and 45,668.98

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Solution

The fourth proportional to 96,269.80, 144,475.64 and 45,668.98 is: 68,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,269.80 : 144,475.64 = 45,668.98 : x
  2. Step 2: Convert to fraction form
    96,269.80/144,475.64 = 45,668.98/x
  3. Step 3: Cross multiply
    96,269.80x = 144,475.64 × 45,668.98
  4. Step 4: Simplify right side
    96,269.80x = 6,598,055,494.04
  5. Step 5: Solve for x
    x = 6,598,055,494.04/96,269.80
  6. Step 6: Final answer
    x = 68,537.13

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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.