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Finding the Fourth Proportional to 278,294.76, 417,502.62 and 91,299.24

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Solution

The fourth proportional to 278,294.76, 417,502.62 and 91,299.24 is: 136,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,294.76 : 417,502.62 = 91,299.24 : x
  2. Step 2: Convert to fraction form
    278,294.76/417,502.62 = 91,299.24/x
  3. Step 3: Cross multiply
    278,294.76x = 417,502.62 × 91,299.24
  4. Step 4: Simplify right side
    278,294.76x = 38,117,671,904.01
  5. Step 5: Solve for x
    x = 38,117,671,904.01/278,294.76
  6. Step 6: Final answer
    x = 136,968.70

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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.