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Finding the Fourth Proportional to 102,514, 141,469.32 and 55,410

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Solution

The fourth proportional to 102,514, 141,469.32 and 55,410 is: 76,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,514 : 141,469.32 = 55,410 : x
  2. Step 2: Convert to fraction form
    102,514/141,469.32 = 55,410/x
  3. Step 3: Cross multiply
    102,514x = 141,469.32 × 55,410
  4. Step 4: Simplify right side
    102,514x = 7,838,815,021.20
  5. Step 5: Solve for x
    x = 7,838,815,021.20/102,514
  6. Step 6: Final answer
    x = 76,465.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.