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Finding the Fourth Proportional to 278,506.84, 417,762.54 and 78,833.80

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Solution

The fourth proportional to 278,506.84, 417,762.54 and 78,833.80 is: 118,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,506.84 : 417,762.54 = 78,833.80 : x
  2. Step 2: Convert to fraction form
    278,506.84/417,762.54 = 78,833.80/x
  3. Step 3: Cross multiply
    278,506.84x = 417,762.54 × 78,833.80
  4. Step 4: Simplify right side
    278,506.84x = 32,933,808,525.85
  5. Step 5: Solve for x
    x = 32,933,808,525.85/278,506.84
  6. Step 6: Final answer
    x = 118,251.35

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