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Finding the Fourth Proportional to 119,702.84, 165,187.86 and 65,992.84

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Solution

The fourth proportional to 119,702.84, 165,187.86 and 65,992.84 is: 91,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,702.84 : 165,187.86 = 65,992.84 : x
  2. Step 2: Convert to fraction form
    119,702.84/165,187.86 = 65,992.84/x
  3. Step 3: Cross multiply
    119,702.84x = 165,187.86 × 65,992.84
  4. Step 4: Simplify right side
    119,702.84x = 10,901,216,014.92
  5. Step 5: Solve for x
    x = 10,901,216,014.92/119,702.84
  6. Step 6: Final answer
    x = 91,068.98

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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.