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Finding the Fourth Proportional to 119,419.88, 164,797.83 and 65,703.76

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Solution

The fourth proportional to 119,419.88, 164,797.83 and 65,703.76 is: 90,670.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,419.88 : 164,797.83 = 65,703.76 : x
  2. Step 2: Convert to fraction form
    119,419.88/164,797.83 = 65,703.76/x
  3. Step 3: Cross multiply
    119,419.88x = 164,797.83 × 65,703.76
  4. Step 4: Simplify right side
    119,419.88x = 10,827,836,658.85
  5. Step 5: Solve for x
    x = 10,827,836,658.85/119,419.88
  6. Step 6: Final answer
    x = 90,670.31

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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.