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Finding the Fourth Proportional to 147,794.73, 221,780.42 and 54,309.93

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Solution

The fourth proportional to 147,794.73, 221,780.42 and 54,309.93 is: 81,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,794.73 : 221,780.42 = 54,309.93 : x
  2. Step 2: Convert to fraction form
    147,794.73/221,780.42 = 54,309.93/x
  3. Step 3: Cross multiply
    147,794.73x = 221,780.42 × 54,309.93
  4. Step 4: Simplify right side
    147,794.73x = 12,044,879,085.57
  5. Step 5: Solve for x
    x = 12,044,879,085.57/147,794.73
  6. Step 6: Final answer
    x = 81,497.35

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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.