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Finding the Fourth Proportional to 266,924.91, 368,356.37 and 146,066.22

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Solution

The fourth proportional to 266,924.91, 368,356.37 and 146,066.22 is: 201,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,924.91 : 368,356.37 = 146,066.22 : x
  2. Step 2: Convert to fraction form
    266,924.91/368,356.37 = 146,066.22/x
  3. Step 3: Cross multiply
    266,924.91x = 368,356.37 × 146,066.22
  4. Step 4: Simplify right side
    266,924.91x = 53,804,421,848.49
  5. Step 5: Solve for x
    x = 53,804,421,848.49/266,924.91
  6. Step 6: Final answer
    x = 201,571.38

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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.