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Finding the Fourth Proportional to 223,864.29, 308,832.87 and 151,243.83

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Solution

The fourth proportional to 223,864.29, 308,832.87 and 151,243.83 is: 208,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,864.29 : 308,832.87 = 151,243.83 : x
  2. Step 2: Convert to fraction form
    223,864.29/308,832.87 = 151,243.83/x
  3. Step 3: Cross multiply
    223,864.29x = 308,832.87 × 151,243.83
  4. Step 4: Simplify right side
    223,864.29x = 46,709,066,088.69
  5. Step 5: Solve for x
    x = 46,709,066,088.69/223,864.29
  6. Step 6: Final answer
    x = 208,649.03

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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.