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Finding the Fourth Proportional to 102,351.26, 153,670.38 and 52,467.14

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Solution

The fourth proportional to 102,351.26, 153,670.38 and 52,467.14 is: 78,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,351.26 : 153,670.38 = 52,467.14 : x
  2. Step 2: Convert to fraction form
    102,351.26/153,670.38 = 52,467.14/x
  3. Step 3: Cross multiply
    102,351.26x = 153,670.38 × 52,467.14
  4. Step 4: Simplify right side
    102,351.26x = 8,062,645,341.31
  5. Step 5: Solve for x
    x = 8,062,645,341.31/102,351.26
  6. Step 6: Final answer
    x = 78,774.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.