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Finding the Fourth Proportional to 223,887.70, 335,831.55 and 164,838.70

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Solution

The fourth proportional to 223,887.70, 335,831.55 and 164,838.70 is: 247,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,887.70 : 335,831.55 = 164,838.70 : x
  2. Step 2: Convert to fraction form
    223,887.70/335,831.55 = 164,838.70/x
  3. Step 3: Cross multiply
    223,887.70x = 335,831.55 × 164,838.70
  4. Step 4: Simplify right side
    223,887.70x = 55,358,036,120.99
  5. Step 5: Solve for x
    x = 55,358,036,120.99/223,887.70
  6. Step 6: Final answer
    x = 247,258.05

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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.