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Finding the Fourth Proportional to 153,216.72, 229,824.33 and 39,364.44

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Solution

The fourth proportional to 153,216.72, 229,824.33 and 39,364.44 is: 59,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,216.72 : 229,824.33 = 39,364.44 : x
  2. Step 2: Convert to fraction form
    153,216.72/229,824.33 = 39,364.44/x
  3. Step 3: Cross multiply
    153,216.72x = 229,824.33 × 39,364.44
  4. Step 4: Simplify right side
    153,216.72x = 9,046,906,048.83
  5. Step 5: Solve for x
    x = 9,046,906,048.83/153,216.72
  6. Step 6: Final answer
    x = 59,046.47

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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.