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Finding the Fourth Proportional to 256,111.88, 353,409.13 and 141,383.07

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Solution

The fourth proportional to 256,111.88, 353,409.13 and 141,383.07 is: 195,094.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,111.88 : 353,409.13 = 141,383.07 : x
  2. Step 2: Convert to fraction form
    256,111.88/353,409.13 = 141,383.07/x
  3. Step 3: Cross multiply
    256,111.88x = 353,409.13 × 141,383.07
  4. Step 4: Simplify right side
    256,111.88x = 49,966,067,146.88
  5. Step 5: Solve for x
    x = 49,966,067,146.88/256,111.88
  6. Step 6: Final answer
    x = 195,094.69

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1.5x scale

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.