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Finding the Fourth Proportional to 137,326.54, 205,823.46 and 58,274.70

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Solution

The fourth proportional to 137,326.54, 205,823.46 and 58,274.70 is: 87,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,326.54 : 205,823.46 = 58,274.70 : x
  2. Step 2: Convert to fraction form
    137,326.54/205,823.46 = 58,274.70/x
  3. Step 3: Cross multiply
    137,326.54x = 205,823.46 × 58,274.70
  4. Step 4: Simplify right side
    137,326.54x = 11,994,300,384.46
  5. Step 5: Solve for x
    x = 11,994,300,384.46/137,326.54
  6. Step 6: Final answer
    x = 87,341.46

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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.