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Finding the Fourth Proportional to 224,989.13, 310,516.71 and 137,826.25

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Solution

The fourth proportional to 224,989.13, 310,516.71 and 137,826.25 is: 190,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,989.13 : 310,516.71 = 137,826.25 : x
  2. Step 2: Convert to fraction form
    224,989.13/310,516.71 = 137,826.25/x
  3. Step 3: Cross multiply
    224,989.13x = 310,516.71 × 137,826.25
  4. Step 4: Simplify right side
    224,989.13x = 42,797,353,183.77
  5. Step 5: Solve for x
    x = 42,797,353,183.77/224,989.13
  6. Step 6: Final answer
    x = 190,219.65

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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.