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Finding the Fourth Proportional to 169,935.40, 254,903.10 and 142,287.40

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Solution

The fourth proportional to 169,935.40, 254,903.10 and 142,287.40 is: 213,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,935.40 : 254,903.10 = 142,287.40 : x
  2. Step 2: Convert to fraction form
    169,935.40/254,903.10 = 142,287.40/x
  3. Step 3: Cross multiply
    169,935.40x = 254,903.10 × 142,287.40
  4. Step 4: Simplify right side
    169,935.40x = 36,269,499,350.94
  5. Step 5: Solve for x
    x = 36,269,499,350.94/169,935.40
  6. Step 6: Final answer
    x = 213,431.10

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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.