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Finding the Fourth Proportional to 261,965.84, 393,020.98 and 104,305

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Solution

The fourth proportional to 261,965.84, 393,020.98 and 104,305 is: 156,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,965.84 : 393,020.98 = 104,305 : x
  2. Step 2: Convert to fraction form
    261,965.84/393,020.98 = 104,305/x
  3. Step 3: Cross multiply
    261,965.84x = 393,020.98 × 104,305
  4. Step 4: Simplify right side
    261,965.84x = 40,994,053,318.90
  5. Step 5: Solve for x
    x = 40,994,053,318.90/261,965.84
  6. Step 6: Final answer
    x = 156,486.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.