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Finding the Fourth Proportional to 256,677.30, 354,203.01 and 141,957

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Solution

The fourth proportional to 256,677.30, 354,203.01 and 141,957 is: 195,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,677.30 : 354,203.01 = 141,957 : x
  2. Step 2: Convert to fraction form
    256,677.30/354,203.01 = 141,957/x
  3. Step 3: Cross multiply
    256,677.30x = 354,203.01 × 141,957
  4. Step 4: Simplify right side
    256,677.30x = 50,281,596,690.57
  5. Step 5: Solve for x
    x = 50,281,596,690.57/256,677.30
  6. Step 6: Final answer
    x = 195,894.21

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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.