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Finding the Fourth Proportional to 102,456.64, 153,684.98 and 27,576.96

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Solution

The fourth proportional to 102,456.64, 153,684.98 and 27,576.96 is: 41,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,456.64 : 153,684.98 = 27,576.96 : x
  2. Step 2: Convert to fraction form
    102,456.64/153,684.98 = 27,576.96/x
  3. Step 3: Cross multiply
    102,456.64x = 153,684.98 × 27,576.96
  4. Step 4: Simplify right side
    102,456.64x = 4,238,164,546.06
  5. Step 5: Solve for x
    x = 4,238,164,546.06/102,456.64
  6. Step 6: Final answer
    x = 41,365.45

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1.5x scale

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.