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Finding the Fourth Proportional to 205,196.64, 307,825.72 and 72,053.45

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Solution

The fourth proportional to 205,196.64, 307,825.72 and 72,053.45 is: 108,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,196.64 : 307,825.72 = 72,053.45 : x
  2. Step 2: Convert to fraction form
    205,196.64/307,825.72 = 72,053.45/x
  3. Step 3: Cross multiply
    205,196.64x = 307,825.72 × 72,053.45
  4. Step 4: Simplify right side
    205,196.64x = 22,179,904,559.82
  5. Step 5: Solve for x
    x = 22,179,904,559.82/205,196.64
  6. Step 6: Final answer
    x = 108,090.97

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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.