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Finding the Fourth Proportional to 154,663.54, 231,945.90 and 49,457.50

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Solution

The fourth proportional to 154,663.54, 231,945.90 and 49,457.50 is: 74,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,663.54 : 231,945.90 = 49,457.50 : x
  2. Step 2: Convert to fraction form
    154,663.54/231,945.90 = 49,457.50/x
  3. Step 3: Cross multiply
    154,663.54x = 231,945.90 × 49,457.50
  4. Step 4: Simplify right side
    154,663.54x = 11,471,464,349.25
  5. Step 5: Solve for x
    x = 11,471,464,349.25/154,663.54
  6. Step 6: Final answer
    x = 74,170.45

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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.