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Finding the Fourth Proportional to 221,447.70, 331,831.35 and 165,023.10

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Solution

The fourth proportional to 221,447.70, 331,831.35 and 165,023.10 is: 247,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,447.70 : 331,831.35 = 165,023.10 : x
  2. Step 2: Convert to fraction form
    221,447.70/331,831.35 = 165,023.10/x
  3. Step 3: Cross multiply
    221,447.70x = 331,831.35 × 165,023.10
  4. Step 4: Simplify right side
    221,447.70x = 54,759,838,054.19
  5. Step 5: Solve for x
    x = 54,759,838,054.19/221,447.70
  6. Step 6: Final answer
    x = 247,281.13

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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.