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Finding the Fourth Proportional to 341,713.76, 512,611.65 and 142,169.13

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Solution

The fourth proportional to 341,713.76, 512,611.65 and 142,169.13 is: 213,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,713.76 : 512,611.65 = 142,169.13 : x
  2. Step 2: Convert to fraction form
    341,713.76/512,611.65 = 142,169.13/x
  3. Step 3: Cross multiply
    341,713.76x = 512,611.65 × 142,169.13
  4. Step 4: Simplify right side
    341,713.76x = 72,877,552,308.36
  5. Step 5: Solve for x
    x = 72,877,552,308.36/341,713.76
  6. Step 6: Final answer
    x = 213,270.76

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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.