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Finding the Fourth Proportional to 266,983.84, 400,587.48 and 117,146.80

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Solution

The fourth proportional to 266,983.84, 400,587.48 and 117,146.80 is: 175,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,983.84 : 400,587.48 = 117,146.80 : x
  2. Step 2: Convert to fraction form
    266,983.84/400,587.48 = 117,146.80/x
  3. Step 3: Cross multiply
    266,983.84x = 400,587.48 × 117,146.80
  4. Step 4: Simplify right side
    266,983.84x = 46,927,541,402.06
  5. Step 5: Solve for x
    x = 46,927,541,402.06/266,983.84
  6. Step 6: Final answer
    x = 175,769.22

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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.