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Finding the Fourth Proportional to 256,272.16, 353,561.88 and 160,744

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Solution

The fourth proportional to 256,272.16, 353,561.88 and 160,744 is: 221,767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,272.16 : 353,561.88 = 160,744 : x
  2. Step 2: Convert to fraction form
    256,272.16/353,561.88 = 160,744/x
  3. Step 3: Cross multiply
    256,272.16x = 353,561.88 × 160,744
  4. Step 4: Simplify right side
    256,272.16x = 56,832,950,838.72
  5. Step 5: Solve for x
    x = 56,832,950,838.72/256,272.16
  6. Step 6: Final answer
    x = 221,767.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.