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Finding the Fourth Proportional to 169,574.34, 254,022.39 and 102,069.30

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Solution

The fourth proportional to 169,574.34, 254,022.39 and 102,069.30 is: 152,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,574.34 : 254,022.39 = 102,069.30 : x
  2. Step 2: Convert to fraction form
    169,574.34/254,022.39 = 102,069.30/x
  3. Step 3: Cross multiply
    169,574.34x = 254,022.39 × 102,069.30
  4. Step 4: Simplify right side
    169,574.34x = 25,927,887,531.63
  5. Step 5: Solve for x
    x = 25,927,887,531.63/169,574.34
  6. Step 6: Final answer
    x = 152,899.83

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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.