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Finding the Fourth Proportional to 209,014.40, 313,575.60 and 90,658.64

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Solution

The fourth proportional to 209,014.40, 313,575.60 and 90,658.64 is: 136,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,014.40 : 313,575.60 = 90,658.64 : x
  2. Step 2: Convert to fraction form
    209,014.40/313,575.60 = 90,658.64/x
  3. Step 3: Cross multiply
    209,014.40x = 313,575.60 × 90,658.64
  4. Step 4: Simplify right side
    209,014.40x = 28,428,337,433.18
  5. Step 5: Solve for x
    x = 28,428,337,433.18/209,014.40
  6. Step 6: Final answer
    x = 136,011.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.