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Finding the Fourth Proportional to 258,599.10, 387,910.80 and 81,111.90

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Solution

The fourth proportional to 258,599.10, 387,910.80 and 81,111.90 is: 121,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,599.10 : 387,910.80 = 81,111.90 : x
  2. Step 2: Convert to fraction form
    258,599.10/387,910.80 = 81,111.90/x
  3. Step 3: Cross multiply
    258,599.10x = 387,910.80 × 81,111.90
  4. Step 4: Simplify right side
    258,599.10x = 31,464,182,018.52
  5. Step 5: Solve for x
    x = 31,464,182,018.52/258,599.10
  6. Step 6: Final answer
    x = 121,671.66

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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.