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Finding the Fourth Proportional to 185,787.84, 278,692.16 and 59,439.20

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Solution

The fourth proportional to 185,787.84, 278,692.16 and 59,439.20 is: 89,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,787.84 : 278,692.16 = 59,439.20 : x
  2. Step 2: Convert to fraction form
    185,787.84/278,692.16 = 59,439.20/x
  3. Step 3: Cross multiply
    185,787.84x = 278,692.16 × 59,439.20
  4. Step 4: Simplify right side
    185,787.84x = 16,565,239,036.67
  5. Step 5: Solve for x
    x = 16,565,239,036.67/185,787.84
  6. Step 6: Final answer
    x = 89,162.13

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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.