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Finding the Fourth Proportional to 102,028.56, 153,058.62 and 52,081.56

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Solution

The fourth proportional to 102,028.56, 153,058.62 and 52,081.56 is: 78,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,028.56 : 153,058.62 = 52,081.56 : x
  2. Step 2: Convert to fraction form
    102,028.56/153,058.62 = 52,081.56/x
  3. Step 3: Cross multiply
    102,028.56x = 153,058.62 × 52,081.56
  4. Step 4: Simplify right side
    102,028.56x = 7,971,531,701.05
  5. Step 5: Solve for x
    x = 7,971,531,701.05/102,028.56
  6. Step 6: Final answer
    x = 78,130.40

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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.