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Finding the Fourth Proportional to 202,823.40, 304,235.10 and 194,658.60

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Solution

The fourth proportional to 202,823.40, 304,235.10 and 194,658.60 is: 291,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,823.40 : 304,235.10 = 194,658.60 : x
  2. Step 2: Convert to fraction form
    202,823.40/304,235.10 = 194,658.60/x
  3. Step 3: Cross multiply
    202,823.40x = 304,235.10 × 194,658.60
  4. Step 4: Simplify right side
    202,823.40x = 59,221,978,636.86
  5. Step 5: Solve for x
    x = 59,221,978,636.86/202,823.40
  6. Step 6: Final answer
    x = 291,987.90

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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.