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Finding the Fourth Proportional to 142,124.01, 196,129.86 and 78,460.44

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Solution

The fourth proportional to 142,124.01, 196,129.86 and 78,460.44 is: 108,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,124.01 : 196,129.86 = 78,460.44 : x
  2. Step 2: Convert to fraction form
    142,124.01/196,129.86 = 78,460.44/x
  3. Step 3: Cross multiply
    142,124.01x = 196,129.86 × 78,460.44
  4. Step 4: Simplify right side
    142,124.01x = 15,388,435,112.74
  5. Step 5: Solve for x
    x = 15,388,435,112.74/142,124.01
  6. Step 6: Final answer
    x = 108,274.70

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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.