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Finding the Fourth Proportional to 169,205.14, 253,808.28 and 42,845.32

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Solution

The fourth proportional to 169,205.14, 253,808.28 and 42,845.32 is: 64,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,205.14 : 253,808.28 = 42,845.32 : x
  2. Step 2: Convert to fraction form
    169,205.14/253,808.28 = 42,845.32/x
  3. Step 3: Cross multiply
    169,205.14x = 253,808.28 × 42,845.32
  4. Step 4: Simplify right side
    169,205.14x = 10,874,498,006.35
  5. Step 5: Solve for x
    x = 10,874,498,006.35/169,205.14
  6. Step 6: Final answer
    x = 64,268.13

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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.