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Finding the Fourth Proportional to 105,514.65, 145,614.15 and 60,200.01

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Solution

The fourth proportional to 105,514.65, 145,614.15 and 60,200.01 is: 83,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,514.65 : 145,614.15 = 60,200.01 : x
  2. Step 2: Convert to fraction form
    105,514.65/145,614.15 = 60,200.01/x
  3. Step 3: Cross multiply
    105,514.65x = 145,614.15 × 60,200.01
  4. Step 4: Simplify right side
    105,514.65x = 8,765,973,286.14
  5. Step 5: Solve for x
    x = 8,765,973,286.14/105,514.65
  6. Step 6: Final answer
    x = 83,078.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.