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Finding the Fourth Proportional to 142,052.29, 196,029.14 and 77,519.39

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Solution

The fourth proportional to 142,052.29, 196,029.14 and 77,519.39 is: 106,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,052.29 : 196,029.14 = 77,519.39 : x
  2. Step 2: Convert to fraction form
    142,052.29/196,029.14 = 77,519.39/x
  3. Step 3: Cross multiply
    142,052.29x = 196,029.14 × 77,519.39
  4. Step 4: Simplify right side
    142,052.29x = 15,196,057,987.28
  5. Step 5: Solve for x
    x = 15,196,057,987.28/142,052.29
  6. Step 6: Final answer
    x = 106,975.10

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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.