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Finding the Fourth Proportional to 137,202.54, 205,828.29 and 48,507.54

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Solution

The fourth proportional to 137,202.54, 205,828.29 and 48,507.54 is: 72,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,202.54 : 205,828.29 = 48,507.54 : x
  2. Step 2: Convert to fraction form
    137,202.54/205,828.29 = 48,507.54/x
  3. Step 3: Cross multiply
    137,202.54x = 205,828.29 × 48,507.54
  4. Step 4: Simplify right side
    137,202.54x = 9,984,224,010.31
  5. Step 5: Solve for x
    x = 9,984,224,010.31/137,202.54
  6. Step 6: Final answer
    x = 72,769.96

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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.