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Finding the Fourth Proportional to 278,033.84, 417,052.95 and 182,051.93

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Solution

The fourth proportional to 278,033.84, 417,052.95 and 182,051.93 is: 273,079.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,033.84 : 417,052.95 = 182,051.93 : x
  2. Step 2: Convert to fraction form
    278,033.84/417,052.95 = 182,051.93/x
  3. Step 3: Cross multiply
    278,033.84x = 417,052.95 × 182,051.93
  4. Step 4: Simplify right side
    278,033.84x = 75,925,292,374.43
  5. Step 5: Solve for x
    x = 75,925,292,374.43/278,033.84
  6. Step 6: Final answer
    x = 273,079.33

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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.