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Finding the Fourth Proportional to 256,444.31, 353,942.04 and 169,076.01

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Solution

The fourth proportional to 256,444.31, 353,942.04 and 169,076.01 is: 233,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,444.31 : 353,942.04 = 169,076.01 : x
  2. Step 2: Convert to fraction form
    256,444.31/353,942.04 = 169,076.01/x
  3. Step 3: Cross multiply
    256,444.31x = 353,942.04 × 169,076.01
  4. Step 4: Simplify right side
    256,444.31x = 59,843,107,894.46
  5. Step 5: Solve for x
    x = 59,843,107,894.46/256,444.31
  6. Step 6: Final answer
    x = 233,357.13

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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.