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Finding the Fourth Proportional to 273,663, 410,157.54 and 194,347.80

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Solution

The fourth proportional to 273,663, 410,157.54 and 194,347.80 is: 291,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,663 : 410,157.54 = 194,347.80 : x
  2. Step 2: Convert to fraction form
    273,663/410,157.54 = 194,347.80/x
  3. Step 3: Cross multiply
    273,663x = 410,157.54 × 194,347.80
  4. Step 4: Simplify right side
    273,663x = 79,713,215,552.41
  5. Step 5: Solve for x
    x = 79,713,215,552.41/273,663
  6. Step 6: Final answer
    x = 291,282.40

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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.