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Finding the Fourth Proportional to 137,433.08, 205,955.22 and 58,467.80

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Solution

The fourth proportional to 137,433.08, 205,955.22 and 58,467.80 is: 87,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,433.08 : 205,955.22 = 58,467.80 : x
  2. Step 2: Convert to fraction form
    137,433.08/205,955.22 = 58,467.80/x
  3. Step 3: Cross multiply
    137,433.08x = 205,955.22 × 58,467.80
  4. Step 4: Simplify right side
    137,433.08x = 12,041,748,611.92
  5. Step 5: Solve for x
    x = 12,041,748,611.92/137,433.08
  6. Step 6: Final answer
    x = 87,619.00

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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.