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Finding the Fourth Proportional to 219,649.12, 303,113.52 and 122,851.92

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Solution

The fourth proportional to 219,649.12, 303,113.52 and 122,851.92 is: 169,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,649.12 : 303,113.52 = 122,851.92 : x
  2. Step 2: Convert to fraction form
    219,649.12/303,113.52 = 122,851.92/x
  3. Step 3: Cross multiply
    219,649.12x = 303,113.52 × 122,851.92
  4. Step 4: Simplify right side
    219,649.12x = 37,238,077,909.96
  5. Step 5: Solve for x
    x = 37,238,077,909.96/219,649.12
  6. Step 6: Final answer
    x = 169,534.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.