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Finding the Fourth Proportional to 330,117.90, 455,564.61 and 194,157.58

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Solution

The fourth proportional to 330,117.90, 455,564.61 and 194,157.58 is: 267,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,117.90 : 455,564.61 = 194,157.58 : x
  2. Step 2: Convert to fraction form
    330,117.90/455,564.61 = 194,157.58/x
  3. Step 3: Cross multiply
    330,117.90x = 455,564.61 × 194,157.58
  4. Step 4: Simplify right side
    330,117.90x = 88,451,322,211.24
  5. Step 5: Solve for x
    x = 88,451,322,211.24/330,117.90
  6. Step 6: Final answer
    x = 267,938.58

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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.