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Finding the Fourth Proportional to 224,808.36, 310,231.86 and 122,831.58

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Solution

The fourth proportional to 224,808.36, 310,231.86 and 122,831.58 is: 169,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,808.36 : 310,231.86 = 122,831.58 : x
  2. Step 2: Convert to fraction form
    224,808.36/310,231.86 = 122,831.58/x
  3. Step 3: Cross multiply
    224,808.36x = 310,231.86 × 122,831.58
  4. Step 4: Simplify right side
    224,808.36x = 38,106,269,530.14
  5. Step 5: Solve for x
    x = 38,106,269,530.14/224,808.36
  6. Step 6: Final answer
    x = 169,505.57

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1.5x scale

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.