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Finding the Fourth Proportional to 223,552.34, 308,291.34 and 146,936.06

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Solution

The fourth proportional to 223,552.34, 308,291.34 and 146,936.06 is: 202,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,552.34 : 308,291.34 = 146,936.06 : x
  2. Step 2: Convert to fraction form
    223,552.34/308,291.34 = 146,936.06/x
  3. Step 3: Cross multiply
    223,552.34x = 308,291.34 × 146,936.06
  4. Step 4: Simplify right side
    223,552.34x = 45,299,114,831.72
  5. Step 5: Solve for x
    x = 45,299,114,831.72/223,552.34
  6. Step 6: Final answer
    x = 202,633.15

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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.