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Finding the Fourth Proportional to 278,904.87, 384,873.93 and 158,047.65

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Solution

The fourth proportional to 278,904.87, 384,873.93 and 158,047.65 is: 218,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,904.87 : 384,873.93 = 158,047.65 : x
  2. Step 2: Convert to fraction form
    278,904.87/384,873.93 = 158,047.65/x
  3. Step 3: Cross multiply
    278,904.87x = 384,873.93 × 158,047.65
  4. Step 4: Simplify right side
    278,904.87x = 60,828,420,182.76
  5. Step 5: Solve for x
    x = 60,828,420,182.76/278,904.87
  6. Step 6: Final answer
    x = 218,097.38

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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.