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Finding the Fourth Proportional to 137,192.76, 205,792.80 and 37,353.84

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Solution

The fourth proportional to 137,192.76, 205,792.80 and 37,353.84 is: 56,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,192.76 : 205,792.80 = 37,353.84 : x
  2. Step 2: Convert to fraction form
    137,192.76/205,792.80 = 37,353.84/x
  3. Step 3: Cross multiply
    137,192.76x = 205,792.80 × 37,353.84
  4. Step 4: Simplify right side
    137,192.76x = 7,687,151,324.35
  5. Step 5: Solve for x
    x = 7,687,151,324.35/137,192.76
  6. Step 6: Final answer
    x = 56,031.76

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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.