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Finding the Fourth Proportional to 119,859.85, 165,356.13 and 84,073.24

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Solution

The fourth proportional to 119,859.85, 165,356.13 and 84,073.24 is: 115,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,859.85 : 165,356.13 = 84,073.24 : x
  2. Step 2: Convert to fraction form
    119,859.85/165,356.13 = 84,073.24/x
  3. Step 3: Cross multiply
    119,859.85x = 165,356.13 × 84,073.24
  4. Step 4: Simplify right side
    119,859.85x = 13,902,025,602.96
  5. Step 5: Solve for x
    x = 13,902,025,602.96/119,859.85
  6. Step 6: Final answer
    x = 115,985.67

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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.