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Finding the Fourth Proportional to 256,085.49, 353,398.05 and 141,364.21

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Solution

The fourth proportional to 256,085.49, 353,398.05 and 141,364.21 is: 195,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,085.49 : 353,398.05 = 141,364.21 : x
  2. Step 2: Convert to fraction form
    256,085.49/353,398.05 = 141,364.21/x
  3. Step 3: Cross multiply
    256,085.49x = 353,398.05 × 141,364.21
  4. Step 4: Simplify right side
    256,085.49x = 49,957,836,153.79
  5. Step 5: Solve for x
    x = 49,957,836,153.79/256,085.49
  6. Step 6: Final answer
    x = 195,082.65

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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.