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Finding the Fourth Proportional to 223,010.36, 308,009.72 and 146,869.82

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Solution

The fourth proportional to 223,010.36, 308,009.72 and 146,869.82 is: 202,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,010.36 : 308,009.72 = 146,869.82 : x
  2. Step 2: Convert to fraction form
    223,010.36/308,009.72 = 146,869.82/x
  3. Step 3: Cross multiply
    223,010.36x = 308,009.72 × 146,869.82
  4. Step 4: Simplify right side
    223,010.36x = 45,237,332,134.65
  5. Step 5: Solve for x
    x = 45,237,332,134.65/223,010.36
  6. Step 6: Final answer
    x = 202,848.57

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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.