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Finding the Fourth Proportional to 345,112.15, 476,253.80 and 194,209.15

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Solution

The fourth proportional to 345,112.15, 476,253.80 and 194,209.15 is: 268,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,112.15 : 476,253.80 = 194,209.15 : x
  2. Step 2: Convert to fraction form
    345,112.15/476,253.80 = 194,209.15/x
  3. Step 3: Cross multiply
    345,112.15x = 476,253.80 × 194,209.15
  4. Step 4: Simplify right side
    345,112.15x = 92,492,844,711.22
  5. Step 5: Solve for x
    x = 92,492,844,711.22/345,112.15
  6. Step 6: Final answer
    x = 268,008.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.