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Finding the Fourth Proportional to 102,552.51, 153,828.10 and 55,189.90

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Solution

The fourth proportional to 102,552.51, 153,828.10 and 55,189.90 is: 82,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,552.51 : 153,828.10 = 55,189.90 : x
  2. Step 2: Convert to fraction form
    102,552.51/153,828.10 = 55,189.90/x
  3. Step 3: Cross multiply
    102,552.51x = 153,828.10 × 55,189.90
  4. Step 4: Simplify right side
    102,552.51x = 8,489,757,456.19
  5. Step 5: Solve for x
    x = 8,489,757,456.19/102,552.51
  6. Step 6: Final answer
    x = 82,784.49

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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.