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Finding the Fourth Proportional to 142,051.80, 196,026.78 and 78,389.64

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Solution

The fourth proportional to 142,051.80, 196,026.78 and 78,389.64 is: 108,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,051.80 : 196,026.78 = 78,389.64 : x
  2. Step 2: Convert to fraction form
    142,051.80/196,026.78 = 78,389.64/x
  3. Step 3: Cross multiply
    142,051.80x = 196,026.78 × 78,389.64
  4. Step 4: Simplify right side
    142,051.80x = 15,366,468,714.56
  5. Step 5: Solve for x
    x = 15,366,468,714.56/142,051.80
  6. Step 6: Final answer
    x = 108,175.11

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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.