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Finding the Fourth Proportional to 115,249, 159,043.62 and 62,257

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Solution

The fourth proportional to 115,249, 159,043.62 and 62,257 is: 85,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,249 : 159,043.62 = 62,257 : x
  2. Step 2: Convert to fraction form
    115,249/159,043.62 = 62,257/x
  3. Step 3: Cross multiply
    115,249x = 159,043.62 × 62,257
  4. Step 4: Simplify right side
    115,249x = 9,901,578,650.34
  5. Step 5: Solve for x
    x = 9,901,578,650.34/115,249
  6. Step 6: Final answer
    x = 85,914.66

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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.