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Finding the Fourth Proportional to 259,114.76, 388,672.14 and 148,229

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Solution

The fourth proportional to 259,114.76, 388,672.14 and 148,229 is: 222,343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,114.76 : 388,672.14 = 148,229 : x
  2. Step 2: Convert to fraction form
    259,114.76/388,672.14 = 148,229/x
  3. Step 3: Cross multiply
    259,114.76x = 388,672.14 × 148,229
  4. Step 4: Simplify right side
    259,114.76x = 57,612,482,640.06
  5. Step 5: Solve for x
    x = 57,612,482,640.06/259,114.76
  6. Step 6: Final answer
    x = 222,343.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.