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Finding the Fourth Proportional to 140,657.73, 210,931 and 45,864.61

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Solution

The fourth proportional to 140,657.73, 210,931 and 45,864.61 is: 68,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,657.73 : 210,931 = 45,864.61 : x
  2. Step 2: Convert to fraction form
    140,657.73/210,931 = 45,864.61/x
  3. Step 3: Cross multiply
    140,657.73x = 210,931 × 45,864.61
  4. Step 4: Simplify right side
    140,657.73x = 9,674,268,051.91
  5. Step 5: Solve for x
    x = 9,674,268,051.91/140,657.73
  6. Step 6: Final answer
    x = 68,778.79

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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.