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Finding the Fourth Proportional to 224,691.36, 310,133.84 and 139,760.16

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Solution

The fourth proportional to 224,691.36, 310,133.84 and 139,760.16 is: 192,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,691.36 : 310,133.84 = 139,760.16 : x
  2. Step 2: Convert to fraction form
    224,691.36/310,133.84 = 139,760.16/x
  3. Step 3: Cross multiply
    224,691.36x = 310,133.84 × 139,760.16
  4. Step 4: Simplify right side
    224,691.36x = 43,344,355,099.81
  5. Step 5: Solve for x
    x = 43,344,355,099.81/224,691.36
  6. Step 6: Final answer
    x = 192,906.19

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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.