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Finding the Fourth Proportional to 137,222.88, 205,932.80 and 58,392.48

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Solution

The fourth proportional to 137,222.88, 205,932.80 and 58,392.48 is: 87,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,222.88 : 205,932.80 = 58,392.48 : x
  2. Step 2: Convert to fraction form
    137,222.88/205,932.80 = 58,392.48/x
  3. Step 3: Cross multiply
    137,222.88x = 205,932.80 × 58,392.48
  4. Step 4: Simplify right side
    137,222.88x = 12,024,926,905.34
  5. Step 5: Solve for x
    x = 12,024,926,905.34/137,222.88
  6. Step 6: Final answer
    x = 87,630.63

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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.