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Finding the Fourth Proportional to 278,534.79, 384,382.70 and 151,210.38

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Solution

The fourth proportional to 278,534.79, 384,382.70 and 151,210.38 is: 208,672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,534.79 : 384,382.70 = 151,210.38 : x
  2. Step 2: Convert to fraction form
    278,534.79/384,382.70 = 151,210.38/x
  3. Step 3: Cross multiply
    278,534.79x = 384,382.70 × 151,210.38
  4. Step 4: Simplify right side
    278,534.79x = 58,122,652,588.54
  5. Step 5: Solve for x
    x = 58,122,652,588.54/278,534.79
  6. Step 6: Final answer
    x = 208,672.87

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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.