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Finding the Fourth Proportional to 341,996.14, 513,060.09 and 142,209.10

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Solution

The fourth proportional to 341,996.14, 513,060.09 and 142,209.10 is: 213,341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,996.14 : 513,060.09 = 142,209.10 : x
  2. Step 2: Convert to fraction form
    341,996.14/513,060.09 = 142,209.10/x
  3. Step 3: Cross multiply
    341,996.14x = 513,060.09 × 142,209.10
  4. Step 4: Simplify right side
    341,996.14x = 72,961,813,644.82
  5. Step 5: Solve for x
    x = 72,961,813,644.82/341,996.14
  6. Step 6: Final answer
    x = 213,341.04

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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.