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Finding the Fourth Proportional to 137,114.08, 205,702 and 48,373.92

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Solution

The fourth proportional to 137,114.08, 205,702 and 48,373.92 is: 72,571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,114.08 : 205,702 = 48,373.92 : x
  2. Step 2: Convert to fraction form
    137,114.08/205,702 = 48,373.92/x
  3. Step 3: Cross multiply
    137,114.08x = 205,702 × 48,373.92
  4. Step 4: Simplify right side
    137,114.08x = 9,950,612,091.84
  5. Step 5: Solve for x
    x = 9,950,612,091.84/137,114.08
  6. Step 6: Final answer
    x = 72,571.77

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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.