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Finding the Fourth Proportional to 256,095.77, 353,402.90 and 141,371.95

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Solution

The fourth proportional to 256,095.77, 353,402.90 and 141,371.95 is: 195,088.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,095.77 : 353,402.90 = 141,371.95 : x
  2. Step 2: Convert to fraction form
    256,095.77/353,402.90 = 141,371.95/x
  3. Step 3: Cross multiply
    256,095.77x = 353,402.90 × 141,371.95
  4. Step 4: Simplify right side
    256,095.77x = 49,961,256,401.80
  5. Step 5: Solve for x
    x = 49,961,256,401.80/256,095.77
  6. Step 6: Final answer
    x = 195,088.18

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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.