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Finding the Fourth Proportional to 119,708.94, 165,199.46 and 65,995.88

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Solution

The fourth proportional to 119,708.94, 165,199.46 and 65,995.88 is: 91,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,708.94 : 165,199.46 = 65,995.88 : x
  2. Step 2: Convert to fraction form
    119,708.94/165,199.46 = 65,995.88/x
  3. Step 3: Cross multiply
    119,708.94x = 165,199.46 × 65,995.88
  4. Step 4: Simplify right side
    119,708.94x = 10,902,483,821.24
  5. Step 5: Solve for x
    x = 10,902,483,821.24/119,708.94
  6. Step 6: Final answer
    x = 91,074.93

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1.5x scale

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.