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Finding the Fourth Proportional to 255,713.40, 383,570.10 and 68,743.80

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Solution

The fourth proportional to 255,713.40, 383,570.10 and 68,743.80 is: 103,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,713.40 : 383,570.10 = 68,743.80 : x
  2. Step 2: Convert to fraction form
    255,713.40/383,570.10 = 68,743.80/x
  3. Step 3: Cross multiply
    255,713.40x = 383,570.10 × 68,743.80
  4. Step 4: Simplify right side
    255,713.40x = 26,368,066,240.38
  5. Step 5: Solve for x
    x = 26,368,066,240.38/255,713.40
  6. Step 6: Final answer
    x = 103,115.70

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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.