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Finding the Fourth Proportional to 137,875.53, 206,832.74 and 49,102.77

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Solution

The fourth proportional to 137,875.53, 206,832.74 and 49,102.77 is: 73,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,875.53 : 206,832.74 = 49,102.77 : x
  2. Step 2: Convert to fraction form
    137,875.53/206,832.74 = 49,102.77/x
  3. Step 3: Cross multiply
    137,875.53x = 206,832.74 × 49,102.77
  4. Step 4: Simplify right side
    137,875.53x = 10,156,060,215.18
  5. Step 5: Solve for x
    x = 10,156,060,215.18/137,875.53
  6. Step 6: Final answer
    x = 73,661.08

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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.