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Finding the Fourth Proportional to 278,904.34, 418,384.19 and 89,317.09

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Solution

The fourth proportional to 278,904.34, 418,384.19 and 89,317.09 is: 133,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,904.34 : 418,384.19 = 89,317.09 : x
  2. Step 2: Convert to fraction form
    278,904.34/418,384.19 = 89,317.09/x
  3. Step 3: Cross multiply
    278,904.34x = 418,384.19 × 89,317.09
  4. Step 4: Simplify right side
    278,904.34x = 37,368,858,352.81
  5. Step 5: Solve for x
    x = 37,368,858,352.81/278,904.34
  6. Step 6: Final answer
    x = 133,984.50

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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.