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Finding the Fourth Proportional to 119,209.86, 164,507.76 and 65,493.90

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Solution

The fourth proportional to 119,209.86, 164,507.76 and 65,493.90 is: 90,380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,209.86 : 164,507.76 = 65,493.90 : x
  2. Step 2: Convert to fraction form
    119,209.86/164,507.76 = 65,493.90/x
  3. Step 3: Cross multiply
    119,209.86x = 164,507.76 × 65,493.90
  4. Step 4: Simplify right side
    119,209.86x = 10,774,254,782.66
  5. Step 5: Solve for x
    x = 10,774,254,782.66/119,209.86
  6. Step 6: Final answer
    x = 90,380.57

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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.