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Finding the Fourth Proportional to 345,153.52, 476,311.80 and 194,250.16

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Solution

The fourth proportional to 345,153.52, 476,311.80 and 194,250.16 is: 268,065.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,153.52 : 476,311.80 = 194,250.16 : x
  2. Step 2: Convert to fraction form
    345,153.52/476,311.80 = 194,250.16/x
  3. Step 3: Cross multiply
    345,153.52x = 476,311.80 × 194,250.16
  4. Step 4: Simplify right side
    345,153.52x = 92,523,643,359.89
  5. Step 5: Solve for x
    x = 92,523,643,359.89/345,153.52
  6. Step 6: Final answer
    x = 268,065.19

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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.