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Finding the Fourth Proportional to 196,482.08, 294,726.36 and 71,822

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Solution

The fourth proportional to 196,482.08, 294,726.36 and 71,822 is: 107,734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,482.08 : 294,726.36 = 71,822 : x
  2. Step 2: Convert to fraction form
    196,482.08/294,726.36 = 71,822/x
  3. Step 3: Cross multiply
    196,482.08x = 294,726.36 × 71,822
  4. Step 4: Simplify right side
    196,482.08x = 21,167,836,627.92
  5. Step 5: Solve for x
    x = 21,167,836,627.92/196,482.08
  6. Step 6: Final answer
    x = 107,734.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.