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Finding the Fourth Proportional to 111,305.86, 153,625.30 and 102,339.16

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Solution

The fourth proportional to 111,305.86, 153,625.30 and 102,339.16 is: 141,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,305.86 : 153,625.30 = 102,339.16 : x
  2. Step 2: Convert to fraction form
    111,305.86/153,625.30 = 102,339.16/x
  3. Step 3: Cross multiply
    111,305.86x = 153,625.30 × 102,339.16
  4. Step 4: Simplify right side
    111,305.86x = 15,721,884,029.12
  5. Step 5: Solve for x
    x = 15,721,884,029.12/111,305.86
  6. Step 6: Final answer
    x = 141,249.38

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Why These Related Problems?

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