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Finding the Fourth Proportional to 140,278.68, 210,418.47 and 35,097.65

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Solution

The fourth proportional to 140,278.68, 210,418.47 and 35,097.65 is: 52,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,278.68 : 210,418.47 = 35,097.65 : x
  2. Step 2: Convert to fraction form
    140,278.68/210,418.47 = 35,097.65/x
  3. Step 3: Cross multiply
    140,278.68x = 210,418.47 × 35,097.65
  4. Step 4: Simplify right side
    140,278.68x = 7,385,192,761.50
  5. Step 5: Solve for x
    x = 7,385,192,761.50/140,278.68
  6. Step 6: Final answer
    x = 52,646.58

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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.