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Finding the Fourth Proportional to 169,509, 254,263.53 and 132,097.08

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Solution

The fourth proportional to 169,509, 254,263.53 and 132,097.08 is: 198,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,509 : 254,263.53 = 132,097.08 : x
  2. Step 2: Convert to fraction form
    169,509/254,263.53 = 132,097.08/x
  3. Step 3: Cross multiply
    169,509x = 254,263.53 × 132,097.08
  4. Step 4: Simplify right side
    169,509x = 33,587,469,863.49
  5. Step 5: Solve for x
    x = 33,587,469,863.49/169,509
  6. Step 6: Final answer
    x = 198,145.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.