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Finding the Fourth Proportional to 142,031.12, 196,007.03 and 78,373.02

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Solution

The fourth proportional to 142,031.12, 196,007.03 and 78,373.02 is: 108,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,031.12 : 196,007.03 = 78,373.02 : x
  2. Step 2: Convert to fraction form
    142,031.12/196,007.03 = 78,373.02/x
  3. Step 3: Cross multiply
    142,031.12x = 196,007.03 × 78,373.02
  4. Step 4: Simplify right side
    142,031.12x = 15,361,662,490.47
  5. Step 5: Solve for x
    x = 15,361,662,490.47/142,031.12
  6. Step 6: Final answer
    x = 108,157.02

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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.