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Finding the Fourth Proportional to 266,919.71, 368,349.22 and 146,060.97

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Solution

The fourth proportional to 266,919.71, 368,349.22 and 146,060.97 is: 201,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,919.71 : 368,349.22 = 146,060.97 : x
  2. Step 2: Convert to fraction form
    266,919.71/368,349.22 = 146,060.97/x
  3. Step 3: Cross multiply
    266,919.71x = 368,349.22 × 146,060.97
  4. Step 4: Simplify right side
    266,919.71x = 53,801,445,245.17
  5. Step 5: Solve for x
    x = 53,801,445,245.17/266,919.71
  6. Step 6: Final answer
    x = 201,564.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.