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Finding the Fourth Proportional to 257,280.50, 385,920.75 and 117,079.22

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Solution

The fourth proportional to 257,280.50, 385,920.75 and 117,079.22 is: 175,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,280.50 : 385,920.75 = 117,079.22 : x
  2. Step 2: Convert to fraction form
    257,280.50/385,920.75 = 117,079.22/x
  3. Step 3: Cross multiply
    257,280.50x = 385,920.75 × 117,079.22
  4. Step 4: Simplify right side
    257,280.50x = 45,183,301,795.66
  5. Step 5: Solve for x
    x = 45,183,301,795.66/257,280.50
  6. Step 6: Final answer
    x = 175,618.83

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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.