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Finding the Fourth Proportional to 217,398.38, 299,907.70 and 153,771.26

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Solution

The fourth proportional to 217,398.38, 299,907.70 and 153,771.26 is: 212,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,398.38 : 299,907.70 = 153,771.26 : x
  2. Step 2: Convert to fraction form
    217,398.38/299,907.70 = 153,771.26/x
  3. Step 3: Cross multiply
    217,398.38x = 299,907.70 × 153,771.26
  4. Step 4: Simplify right side
    217,398.38x = 46,117,183,028.74
  5. Step 5: Solve for x
    x = 46,117,183,028.74/217,398.38
  6. Step 6: Final answer
    x = 212,132.14

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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.