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Finding the Fourth Proportional to 95,266.41, 142,870.42 and 65,873.13

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Solution

The fourth proportional to 95,266.41, 142,870.42 and 65,873.13 is: 98,789.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,266.41 : 142,870.42 = 65,873.13 : x
  2. Step 2: Convert to fraction form
    95,266.41/142,870.42 = 65,873.13/x
  3. Step 3: Cross multiply
    95,266.41x = 142,870.42 × 65,873.13
  4. Step 4: Simplify right side
    95,266.41x = 9,411,321,749.81
  5. Step 5: Solve for x
    x = 9,411,321,749.81/95,266.41
  6. Step 6: Final answer
    x = 98,789.51

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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.