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Finding the Fourth Proportional to 196,894.46, 295,267.82 and 155,264.92

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Solution

The fourth proportional to 196,894.46, 295,267.82 and 155,264.92 is: 232,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,894.46 : 295,267.82 = 155,264.92 : x
  2. Step 2: Convert to fraction form
    196,894.46/295,267.82 = 155,264.92/x
  3. Step 3: Cross multiply
    196,894.46x = 295,267.82 × 155,264.92
  4. Step 4: Simplify right side
    196,894.46x = 45,844,732,936.38
  5. Step 5: Solve for x
    x = 45,844,732,936.38/196,894.46
  6. Step 6: Final answer
    x = 232,839.12

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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.