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Finding the Fourth Proportional to 217,023.85, 325,897.04 and 146,401.03

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Solution

The fourth proportional to 217,023.85, 325,897.04 and 146,401.03 is: 219,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,023.85 : 325,897.04 = 146,401.03 : x
  2. Step 2: Convert to fraction form
    217,023.85/325,897.04 = 146,401.03/x
  3. Step 3: Cross multiply
    217,023.85x = 325,897.04 × 146,401.03
  4. Step 4: Simplify right side
    217,023.85x = 47,711,662,329.95
  5. Step 5: Solve for x
    x = 47,711,662,329.95/217,023.85
  6. Step 6: Final answer
    x = 219,845.25

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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.