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Finding the Fourth Proportional to 256,087.98, 353,253.96 and 148,644.18

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Solution

The fourth proportional to 256,087.98, 353,253.96 and 148,644.18 is: 205,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,087.98 : 353,253.96 = 148,644.18 : x
  2. Step 2: Convert to fraction form
    256,087.98/353,253.96 = 148,644.18/x
  3. Step 3: Cross multiply
    256,087.98x = 353,253.96 × 148,644.18
  4. Step 4: Simplify right side
    256,087.98x = 52,509,145,215.95
  5. Step 5: Solve for x
    x = 52,509,145,215.95/256,087.98
  6. Step 6: Final answer
    x = 205,043.38

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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.