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Finding the Fourth Proportional to 217,636.64, 300,260.76 and 137,069.18

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Solution

The fourth proportional to 217,636.64, 300,260.76 and 137,069.18 is: 189,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,636.64 : 300,260.76 = 137,069.18 : x
  2. Step 2: Convert to fraction form
    217,636.64/300,260.76 = 137,069.18/x
  3. Step 3: Cross multiply
    217,636.64x = 300,260.76 × 137,069.18
  4. Step 4: Simplify right side
    217,636.64x = 41,156,496,159.38
  5. Step 5: Solve for x
    x = 41,156,496,159.38/217,636.64
  6. Step 6: Final answer
    x = 189,106.47

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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.