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Finding the Fourth Proportional to 345,148.02, 476,298.63 and 194,245.02

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Solution

The fourth proportional to 345,148.02, 476,298.63 and 194,245.02 is: 268,054.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,148.02 : 476,298.63 = 194,245.02 : x
  2. Step 2: Convert to fraction form
    345,148.02/476,298.63 = 194,245.02/x
  3. Step 3: Cross multiply
    345,148.02x = 476,298.63 × 194,245.02
  4. Step 4: Simplify right side
    345,148.02x = 92,518,636,910.32
  5. Step 5: Solve for x
    x = 92,518,636,910.32/345,148.02
  6. Step 6: Final answer
    x = 268,054.95

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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.