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Finding the Fourth Proportional to 142,406.38, 196,512.60 and 78,740.02

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Solution

The fourth proportional to 142,406.38, 196,512.60 and 78,740.02 is: 108,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,406.38 : 196,512.60 = 78,740.02 : x
  2. Step 2: Convert to fraction form
    142,406.38/196,512.60 = 78,740.02/x
  3. Step 3: Cross multiply
    142,406.38x = 196,512.60 × 78,740.02
  4. Step 4: Simplify right side
    142,406.38x = 15,473,406,054.25
  5. Step 5: Solve for x
    x = 15,473,406,054.25/142,406.38
  6. Step 6: Final answer
    x = 108,656.69

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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.