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Finding the Fourth Proportional to 347,197.86, 520,386.66 and 133,834.14

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Solution

The fourth proportional to 347,197.86, 520,386.66 and 133,834.14 is: 200,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,197.86 : 520,386.66 = 133,834.14 : x
  2. Step 2: Convert to fraction form
    347,197.86/520,386.66 = 133,834.14/x
  3. Step 3: Cross multiply
    347,197.86x = 520,386.66 × 133,834.14
  4. Step 4: Simplify right side
    347,197.86x = 69,645,501,108.57
  5. Step 5: Solve for x
    x = 69,645,501,108.57/347,197.86
  6. Step 6: Final answer
    x = 200,593.12

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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.