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Finding the Fourth Proportional to 256,195.01, 353,624.19 and 148,813.31

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Solution

The fourth proportional to 256,195.01, 353,624.19 and 148,813.31 is: 205,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,195.01 : 353,624.19 = 148,813.31 : x
  2. Step 2: Convert to fraction form
    256,195.01/353,624.19 = 148,813.31/x
  3. Step 3: Cross multiply
    256,195.01x = 353,624.19 × 148,813.31
  4. Step 4: Simplify right side
    256,195.01x = 52,623,986,209.97
  5. Step 5: Solve for x
    x = 52,623,986,209.97/256,195.01
  6. Step 6: Final answer
    x = 205,405.98

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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.