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Finding the Fourth Proportional to 137,358.54, 205,871.45 and 58,306.77

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Solution

The fourth proportional to 137,358.54, 205,871.45 and 58,306.77 is: 87,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,358.54 : 205,871.45 = 58,306.77 : x
  2. Step 2: Convert to fraction form
    137,358.54/205,871.45 = 58,306.77/x
  3. Step 3: Cross multiply
    137,358.54x = 205,871.45 × 58,306.77
  4. Step 4: Simplify right side
    137,358.54x = 12,003,698,993.18
  5. Step 5: Solve for x
    x = 12,003,698,993.18/137,358.54
  6. Step 6: Final answer
    x = 87,389.54

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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.