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Finding the Fourth Proportional to 219,368.60, 328,834.20 and 100,833.20

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Solution

The fourth proportional to 219,368.60, 328,834.20 and 100,833.20 is: 151,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,368.60 : 328,834.20 = 100,833.20 : x
  2. Step 2: Convert to fraction form
    219,368.60/328,834.20 = 100,833.20/x
  3. Step 3: Cross multiply
    219,368.60x = 328,834.20 × 100,833.20
  4. Step 4: Simplify right side
    219,368.60x = 33,157,404,655.44
  5. Step 5: Solve for x
    x = 33,157,404,655.44/219,368.60
  6. Step 6: Final answer
    x = 151,149.27

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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.