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Finding the Fourth Proportional to 270,506.83, 405,797.13 and 112,698.38

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Solution

The fourth proportional to 270,506.83, 405,797.13 and 112,698.38 is: 169,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,506.83 : 405,797.13 = 112,698.38 : x
  2. Step 2: Convert to fraction form
    270,506.83/405,797.13 = 112,698.38/x
  3. Step 3: Cross multiply
    270,506.83x = 405,797.13 × 112,698.38
  4. Step 4: Simplify right side
    270,506.83x = 45,732,677,130.66
  5. Step 5: Solve for x
    x = 45,732,677,130.66/270,506.83
  6. Step 6: Final answer
    x = 169,062.93

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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.