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Finding the Fourth Proportional to 266,894.82, 368,299.43 and 146,038.46

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Solution

The fourth proportional to 266,894.82, 368,299.43 and 146,038.46 is: 201,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,894.82 : 368,299.43 = 146,038.46 : x
  2. Step 2: Convert to fraction form
    266,894.82/368,299.43 = 146,038.46/x
  3. Step 3: Cross multiply
    266,894.82x = 368,299.43 × 146,038.46
  4. Step 4: Simplify right side
    266,894.82x = 53,785,882,349.26
  5. Step 5: Solve for x
    x = 53,785,882,349.26/266,894.82
  6. Step 6: Final answer
    x = 201,524.64

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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.