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Finding the Fourth Proportional to 137,346.33, 206,035.83 and 48,581.67

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Solution

The fourth proportional to 137,346.33, 206,035.83 and 48,581.67 is: 72,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,346.33 : 206,035.83 = 48,581.67 : x
  2. Step 2: Convert to fraction form
    137,346.33/206,035.83 = 48,581.67/x
  3. Step 3: Cross multiply
    137,346.33x = 206,035.83 × 48,581.67
  4. Step 4: Simplify right side
    137,346.33x = 10,009,564,701.24
  5. Step 5: Solve for x
    x = 10,009,564,701.24/137,346.33
  6. Step 6: Final answer
    x = 72,878.28

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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.