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Finding the Fourth Proportional to 256,750.84, 354,207.58 and 171,895.24

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Solution

The fourth proportional to 256,750.84, 354,207.58 and 171,895.24 is: 237,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,750.84 : 354,207.58 = 171,895.24 : x
  2. Step 2: Convert to fraction form
    256,750.84/354,207.58 = 171,895.24/x
  3. Step 3: Cross multiply
    256,750.84x = 354,207.58 × 171,895.24
  4. Step 4: Simplify right side
    256,750.84x = 60,886,596,973.92
  5. Step 5: Solve for x
    x = 60,886,596,973.92/256,750.84
  6. Step 6: Final answer
    x = 237,142.74

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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.