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Finding the Fourth Proportional to 142,048.80, 196,029.36 and 78,389.28

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Solution

The fourth proportional to 142,048.80, 196,029.36 and 78,389.28 is: 108,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,048.80 : 196,029.36 = 78,389.28 : x
  2. Step 2: Convert to fraction form
    142,048.80/196,029.36 = 78,389.28/x
  3. Step 3: Cross multiply
    142,048.80x = 196,029.36 × 78,389.28
  4. Step 4: Simplify right side
    142,048.80x = 15,366,600,389.26
  5. Step 5: Solve for x
    x = 15,366,600,389.26/142,048.80
  6. Step 6: Final answer
    x = 108,178.32

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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.