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Finding the Fourth Proportional to 142,019.60, 195,977.94 and 78,357.38

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Solution

The fourth proportional to 142,019.60, 195,977.94 and 78,357.38 is: 108,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,019.60 : 195,977.94 = 78,357.38 : x
  2. Step 2: Convert to fraction form
    142,019.60/195,977.94 = 78,357.38/x
  3. Step 3: Cross multiply
    142,019.60x = 195,977.94 × 78,357.38
  4. Step 4: Simplify right side
    142,019.60x = 15,356,317,916.20
  5. Step 5: Solve for x
    x = 15,356,317,916.20/142,019.60
  6. Step 6: Final answer
    x = 108,128.16

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Why These Related Problems?

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