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Finding the Fourth Proportional to 153,765.81, 230,673.42 and 48,576.78

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Solution

The fourth proportional to 153,765.81, 230,673.42 and 48,576.78 is: 72,872.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,765.81 : 230,673.42 = 48,576.78 : x
  2. Step 2: Convert to fraction form
    153,765.81/230,673.42 = 48,576.78/x
  3. Step 3: Cross multiply
    153,765.81x = 230,673.42 × 48,576.78
  4. Step 4: Simplify right side
    153,765.81x = 11,205,371,975.19
  5. Step 5: Solve for x
    x = 11,205,371,975.19/153,765.81
  6. Step 6: Final answer
    x = 72,872.97

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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.