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Finding the Fourth Proportional to 137,234.60, 205,871.10 and 58,348.20

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Solution

The fourth proportional to 137,234.60, 205,871.10 and 58,348.20 is: 87,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,234.60 : 205,871.10 = 58,348.20 : x
  2. Step 2: Convert to fraction form
    137,234.60/205,871.10 = 58,348.20/x
  3. Step 3: Cross multiply
    137,234.60x = 205,871.10 × 58,348.20
  4. Step 4: Simplify right side
    137,234.60x = 12,012,208,117.02
  5. Step 5: Solve for x
    x = 12,012,208,117.02/137,234.60
  6. Step 6: Final answer
    x = 87,530.46

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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.