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Finding the Fourth Proportional to 142,017.60, 195,975.18 and 78,355.38

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Solution

The fourth proportional to 142,017.60, 195,975.18 and 78,355.38 is: 108,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,017.60 : 195,975.18 = 78,355.38 : x
  2. Step 2: Convert to fraction form
    142,017.60/195,975.18 = 78,355.38/x
  3. Step 3: Cross multiply
    142,017.60x = 195,975.18 × 78,355.38
  4. Step 4: Simplify right side
    142,017.60x = 15,355,709,699.47
  5. Step 5: Solve for x
    x = 15,355,709,699.47/142,017.60
  6. Step 6: Final answer
    x = 108,125.40

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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.