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Finding the Fourth Proportional to 278,389.50, 384,178.53 and 151,065.09

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Solution

The fourth proportional to 278,389.50, 384,178.53 and 151,065.09 is: 208,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,389.50 : 384,178.53 = 151,065.09 : x
  2. Step 2: Convert to fraction form
    278,389.50/384,178.53 = 151,065.09/x
  3. Step 3: Cross multiply
    278,389.50x = 384,178.53 × 151,065.09
  4. Step 4: Simplify right side
    278,389.50x = 58,035,964,210.52
  5. Step 5: Solve for x
    x = 58,035,964,210.52/278,389.50
  6. Step 6: Final answer
    x = 208,470.38

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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.