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Finding the Fourth Proportional to 219,032.44, 328,851.21 and 151,397.86

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Solution

The fourth proportional to 219,032.44, 328,851.21 and 151,397.86 is: 227,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,032.44 : 328,851.21 = 151,397.86 : x
  2. Step 2: Convert to fraction form
    219,032.44/328,851.21 = 151,397.86/x
  3. Step 3: Cross multiply
    219,032.44x = 328,851.21 × 151,397.86
  4. Step 4: Simplify right side
    219,032.44x = 49,787,369,452.41
  5. Step 5: Solve for x
    x = 49,787,369,452.41/219,032.44
  6. Step 6: Final answer
    x = 227,305.92

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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.