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Finding the Fourth Proportional to 145,106.68, 217,687.86 and 50,333.20

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Solution

The fourth proportional to 145,106.68, 217,687.86 and 50,333.20 is: 75,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,106.68 : 217,687.86 = 50,333.20 : x
  2. Step 2: Convert to fraction form
    145,106.68/217,687.86 = 50,333.20/x
  3. Step 3: Cross multiply
    145,106.68x = 217,687.86 × 50,333.20
  4. Step 4: Simplify right side
    145,106.68x = 10,956,926,594.95
  5. Step 5: Solve for x
    x = 10,956,926,594.95/145,106.68
  6. Step 6: Final answer
    x = 75,509.46

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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.