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Finding the Fourth Proportional to 232,264.77, 348,431.78 and 82,492.48

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Solution

The fourth proportional to 232,264.77, 348,431.78 and 82,492.48 is: 123,751.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,264.77 : 348,431.78 = 82,492.48 : x
  2. Step 2: Convert to fraction form
    232,264.77/348,431.78 = 82,492.48/x
  3. Step 3: Cross multiply
    232,264.77x = 348,431.78 × 82,492.48
  4. Step 4: Simplify right side
    232,264.77x = 28,743,001,643.01
  5. Step 5: Solve for x
    x = 28,743,001,643.01/232,264.77
  6. Step 6: Final answer
    x = 123,751.02

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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.