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Finding the Fourth Proportional to 119,873.16, 165,374.55 and 84,086.55

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Solution

The fourth proportional to 119,873.16, 165,374.55 and 84,086.55 is: 116,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,873.16 : 165,374.55 = 84,086.55 : x
  2. Step 2: Convert to fraction form
    119,873.16/165,374.55 = 84,086.55/x
  3. Step 3: Cross multiply
    119,873.16x = 165,374.55 × 84,086.55
  4. Step 4: Simplify right side
    119,873.16x = 13,905,775,367.30
  5. Step 5: Solve for x
    x = 13,905,775,367.30/119,873.16
  6. Step 6: Final answer
    x = 116,004.08

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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.