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Finding the Fourth Proportional to 266,937.84, 400,518.36 and 117,100.80

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Solution

The fourth proportional to 266,937.84, 400,518.36 and 117,100.80 is: 175,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,937.84 : 400,518.36 = 117,100.80 : x
  2. Step 2: Convert to fraction form
    266,937.84/400,518.36 = 117,100.80/x
  3. Step 3: Cross multiply
    266,937.84x = 400,518.36 × 117,100.80
  4. Step 4: Simplify right side
    266,937.84x = 46,901,020,370.69
  5. Step 5: Solve for x
    x = 46,901,020,370.69/266,937.84
  6. Step 6: Final answer
    x = 175,700.16

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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.