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Finding the Fourth Proportional to 196,803.90, 295,205.85 and 157,437.90

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Solution

The fourth proportional to 196,803.90, 295,205.85 and 157,437.90 is: 236,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,803.90 : 295,205.85 = 157,437.90 : x
  2. Step 2: Convert to fraction form
    196,803.90/295,205.85 = 157,437.90/x
  3. Step 3: Cross multiply
    196,803.90x = 295,205.85 × 157,437.90
  4. Step 4: Simplify right side
    196,803.90x = 46,476,589,091.72
  5. Step 5: Solve for x
    x = 46,476,589,091.72/196,803.90
  6. Step 6: Final answer
    x = 236,156.85

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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.