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Finding the Fourth Proportional to 278,284.01, 417,392.00 and 118,424.19

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Solution

The fourth proportional to 278,284.01, 417,392.00 and 118,424.19 is: 177,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,284.01 : 417,392.00 = 118,424.19 : x
  2. Step 2: Convert to fraction form
    278,284.01/417,392.00 = 118,424.19/x
  3. Step 3: Cross multiply
    278,284.01x = 417,392.00 × 118,424.19
  4. Step 4: Simplify right side
    278,284.01x = 49,429,308,920.36
  5. Step 5: Solve for x
    x = 49,429,308,920.36/278,284.01
  6. Step 6: Final answer
    x = 177,621.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.