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Finding the Fourth Proportional to 345,113.65, 476,255.86 and 194,210.65

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Solution

The fourth proportional to 345,113.65, 476,255.86 and 194,210.65 is: 268,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,113.65 : 476,255.86 = 194,210.65 : x
  2. Step 2: Convert to fraction form
    345,113.65/476,255.86 = 194,210.65/x
  3. Step 3: Cross multiply
    345,113.65x = 476,255.86 × 194,210.65
  4. Step 4: Simplify right side
    345,113.65x = 92,493,960,136.91
  5. Step 5: Solve for x
    x = 92,493,960,136.91/345,113.65
  6. Step 6: Final answer
    x = 268,010.15

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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.