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Finding the Fourth Proportional to 142,705.90, 196,935.49 and 78,176.64

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Solution

The fourth proportional to 142,705.90, 196,935.49 and 78,176.64 is: 107,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,705.90 : 196,935.49 = 78,176.64 : x
  2. Step 2: Convert to fraction form
    142,705.90/196,935.49 = 78,176.64/x
  3. Step 3: Cross multiply
    142,705.90x = 196,935.49 × 78,176.64
  4. Step 4: Simplify right side
    142,705.90x = 15,395,754,514.07
  5. Step 5: Solve for x
    x = 15,395,754,514.07/142,705.90
  6. Step 6: Final answer
    x = 107,884.50

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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.