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Finding the Fourth Proportional to 119,442.85, 164,827.63 and 65,727.83

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Solution

The fourth proportional to 119,442.85, 164,827.63 and 65,727.83 is: 90,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,442.85 : 164,827.63 = 65,727.83 : x
  2. Step 2: Convert to fraction form
    119,442.85/164,827.63 = 65,727.83/x
  3. Step 3: Cross multiply
    119,442.85x = 164,827.63 × 65,727.83
  4. Step 4: Simplify right side
    119,442.85x = 10,833,762,443.94
  5. Step 5: Solve for x
    x = 10,833,762,443.94/119,442.85
  6. Step 6: Final answer
    x = 90,702.48

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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.