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Finding the Fourth Proportional to 119,159.85, 164,441.57 and 65,445.51

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Solution

The fourth proportional to 119,159.85, 164,441.57 and 65,445.51 is: 90,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,159.85 : 164,441.57 = 65,445.51 : x
  2. Step 2: Convert to fraction form
    119,159.85/164,441.57 = 65,445.51/x
  3. Step 3: Cross multiply
    119,159.85x = 164,441.57 × 65,445.51
  4. Step 4: Simplify right side
    119,159.85x = 10,761,962,086.62
  5. Step 5: Solve for x
    x = 10,761,962,086.62/119,159.85
  6. Step 6: Final answer
    x = 90,315.34

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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.