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Finding the Fourth Proportional to 142,018.68, 195,996.78 and 78,362.04

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Solution

The fourth proportional to 142,018.68, 195,996.78 and 78,362.04 is: 108,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,018.68 : 195,996.78 = 78,362.04 : x
  2. Step 2: Convert to fraction form
    142,018.68/195,996.78 = 78,362.04/x
  3. Step 3: Cross multiply
    142,018.68x = 195,996.78 × 78,362.04
  4. Step 4: Simplify right side
    142,018.68x = 15,358,707,514.23
  5. Step 5: Solve for x
    x = 15,358,707,514.23/142,018.68
  6. Step 6: Final answer
    x = 108,145.69

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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.