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Finding the Fourth Proportional to 142,094.66, 196,090.65 and 78,432.47

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Solution

The fourth proportional to 142,094.66, 196,090.65 and 78,432.47 is: 108,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,094.66 : 196,090.65 = 78,432.47 : x
  2. Step 2: Convert to fraction form
    142,094.66/196,090.65 = 78,432.47/x
  3. Step 3: Cross multiply
    142,094.66x = 196,090.65 × 78,432.47
  4. Step 4: Simplify right side
    142,094.66x = 15,379,874,023.41
  5. Step 5: Solve for x
    x = 15,379,874,023.41/142,094.66
  6. Step 6: Final answer
    x = 108,236.82

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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.