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Finding the Fourth Proportional to 259,034.75, 388,607.70 and 146,768.75

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Solution

The fourth proportional to 259,034.75, 388,607.70 and 146,768.75 is: 220,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,034.75 : 388,607.70 = 146,768.75 : x
  2. Step 2: Convert to fraction form
    259,034.75/388,607.70 = 146,768.75/x
  3. Step 3: Cross multiply
    259,034.75x = 388,607.70 × 146,768.75
  4. Step 4: Simplify right side
    259,034.75x = 57,035,466,369.38
  5. Step 5: Solve for x
    x = 57,035,466,369.38/259,034.75
  6. Step 6: Final answer
    x = 220,184.61

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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.