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Finding the Fourth Proportional to 217,402.40, 326,103.60 and 146,543.60

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Solution

The fourth proportional to 217,402.40, 326,103.60 and 146,543.60 is: 219,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,402.40 : 326,103.60 = 146,543.60 : x
  2. Step 2: Convert to fraction form
    217,402.40/326,103.60 = 146,543.60/x
  3. Step 3: Cross multiply
    217,402.40x = 326,103.60 × 146,543.60
  4. Step 4: Simplify right side
    217,402.40x = 47,788,395,516.96
  5. Step 5: Solve for x
    x = 47,788,395,516.96/217,402.40
  6. Step 6: Final answer
    x = 219,815.40

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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.