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Finding the Fourth Proportional to 256,196, 353,523.61 and 148,745.04

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Solution

The fourth proportional to 256,196, 353,523.61 and 148,745.04 is: 205,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,196 : 353,523.61 = 148,745.04 : x
  2. Step 2: Convert to fraction form
    256,196/353,523.61 = 148,745.04/x
  3. Step 3: Cross multiply
    256,196x = 353,523.61 × 148,745.04
  4. Step 4: Simplify right side
    256,196x = 52,584,883,510.39
  5. Step 5: Solve for x
    x = 52,584,883,510.39/256,196
  6. Step 6: Final answer
    x = 205,252.55

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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.