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Finding the Fourth Proportional to 234,713.98, 323,905.48 and 127,284

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Solution

The fourth proportional to 234,713.98, 323,905.48 and 127,284 is: 175,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,713.98 : 323,905.48 = 127,284 : x
  2. Step 2: Convert to fraction form
    234,713.98/323,905.48 = 127,284/x
  3. Step 3: Cross multiply
    234,713.98x = 323,905.48 × 127,284
  4. Step 4: Simplify right side
    234,713.98x = 41,227,985,116.32
  5. Step 5: Solve for x
    x = 41,227,985,116.32/234,713.98
  6. Step 6: Final answer
    x = 175,652.02

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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.