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Finding the Fourth Proportional to 266,117.40, 399,176.10 and 139,708.80

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Solution

The fourth proportional to 266,117.40, 399,176.10 and 139,708.80 is: 209,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,117.40 : 399,176.10 = 139,708.80 : x
  2. Step 2: Convert to fraction form
    266,117.40/399,176.10 = 139,708.80/x
  3. Step 3: Cross multiply
    266,117.40x = 399,176.10 × 139,708.80
  4. Step 4: Simplify right side
    266,117.40x = 55,768,413,919.68
  5. Step 5: Solve for x
    x = 55,768,413,919.68/266,117.40
  6. Step 6: Final answer
    x = 209,563.20

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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.