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Finding the Fourth Proportional to 137,443.08, 205,970.20 and 58,477.80

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Solution

The fourth proportional to 137,443.08, 205,970.20 and 58,477.80 is: 87,633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,443.08 : 205,970.20 = 58,477.80 : x
  2. Step 2: Convert to fraction form
    137,443.08/205,970.20 = 58,477.80/x
  3. Step 3: Cross multiply
    137,443.08x = 205,970.20 × 58,477.80
  4. Step 4: Simplify right side
    137,443.08x = 12,044,684,161.56
  5. Step 5: Solve for x
    x = 12,044,684,161.56/137,443.08
  6. Step 6: Final answer
    x = 87,633.98

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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.