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Finding the Fourth Proportional to 119,415.97, 164,796.83 and 65,702.34

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Solution

The fourth proportional to 119,415.97, 164,796.83 and 65,702.34 is: 90,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,415.97 : 164,796.83 = 65,702.34 : x
  2. Step 2: Convert to fraction form
    119,415.97/164,796.83 = 65,702.34/x
  3. Step 3: Cross multiply
    119,415.97x = 164,796.83 × 65,702.34
  4. Step 4: Simplify right side
    119,415.97x = 10,827,537,273.45
  5. Step 5: Solve for x
    x = 10,827,537,273.45/119,415.97
  6. Step 6: Final answer
    x = 90,670.76

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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.