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Finding the Fourth Proportional to 357,484.33, 536,107.42 and 144,197.16

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Solution

The fourth proportional to 357,484.33, 536,107.42 and 144,197.16 is: 216,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,484.33 : 536,107.42 = 144,197.16 : x
  2. Step 2: Convert to fraction form
    357,484.33/536,107.42 = 144,197.16/x
  3. Step 3: Cross multiply
    357,484.33x = 536,107.42 × 144,197.16
  4. Step 4: Simplify right side
    357,484.33x = 77,305,167,418.93
  5. Step 5: Solve for x
    x = 77,305,167,418.93/357,484.33
  6. Step 6: Final answer
    x = 216,247.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.