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Finding the Fourth Proportional to 147,833.88, 221,838.30 and 54,405.24

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Solution

The fourth proportional to 147,833.88, 221,838.30 and 54,405.24 is: 81,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,833.88 : 221,838.30 = 54,405.24 : x
  2. Step 2: Convert to fraction form
    147,833.88/221,838.30 = 54,405.24/x
  3. Step 3: Cross multiply
    147,833.88x = 221,838.30 × 54,405.24
  4. Step 4: Simplify right side
    147,833.88x = 12,069,165,952.69
  5. Step 5: Solve for x
    x = 12,069,165,952.69/147,833.88
  6. Step 6: Final answer
    x = 81,640.05

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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.