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Finding the Fourth Proportional to 149,221, 223,831.50 and 50,725

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Solution

The fourth proportional to 149,221, 223,831.50 and 50,725 is: 76,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,221 : 223,831.50 = 50,725 : x
  2. Step 2: Convert to fraction form
    149,221/223,831.50 = 50,725/x
  3. Step 3: Cross multiply
    149,221x = 223,831.50 × 50,725
  4. Step 4: Simplify right side
    149,221x = 11,353,852,837.50
  5. Step 5: Solve for x
    x = 11,353,852,837.50/149,221
  6. Step 6: Final answer
    x = 76,087.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.