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Finding the Fourth Proportional to 232,558, 348,889 and 84,814

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Solution

The fourth proportional to 232,558, 348,889 and 84,814 is: 127,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,558 : 348,889 = 84,814 : x
  2. Step 2: Convert to fraction form
    232,558/348,889 = 84,814/x
  3. Step 3: Cross multiply
    232,558x = 348,889 × 84,814
  4. Step 4: Simplify right side
    232,558x = 29,590,671,646
  5. Step 5: Solve for x
    x = 29,590,671,646/232,558
  6. Step 6: Final answer
    x = 127,239.96

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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.