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Finding the Fourth Proportional to 223,283.16, 307,919.22 and 146,667.48

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Solution

The fourth proportional to 223,283.16, 307,919.22 and 146,667.48 is: 202,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,283.16 : 307,919.22 = 146,667.48 : x
  2. Step 2: Convert to fraction form
    223,283.16/307,919.22 = 146,667.48/x
  3. Step 3: Cross multiply
    223,283.16x = 307,919.22 × 146,667.48
  4. Step 4: Simplify right side
    223,283.16x = 45,161,736,040.97
  5. Step 5: Solve for x
    x = 45,161,736,040.97/223,283.16
  6. Step 6: Final answer
    x = 202,262.17

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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.