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Finding the Fourth Proportional to 278,666.33, 384,719.12 and 183,449.81

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Solution

The fourth proportional to 278,666.33, 384,719.12 and 183,449.81 is: 253,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,666.33 : 384,719.12 = 183,449.81 : x
  2. Step 2: Convert to fraction form
    278,666.33/384,719.12 = 183,449.81/x
  3. Step 3: Cross multiply
    278,666.33x = 384,719.12 × 183,449.81
  4. Step 4: Simplify right side
    278,666.33x = 70,576,650,199.85
  5. Step 5: Solve for x
    x = 70,576,650,199.85/278,666.33
  6. Step 6: Final answer
    x = 253,265.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.