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Finding the Fourth Proportional to 200,473.53, 300,646.04 and 105,650.69

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Solution

The fourth proportional to 200,473.53, 300,646.04 and 105,650.69 is: 158,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,473.53 : 300,646.04 = 105,650.69 : x
  2. Step 2: Convert to fraction form
    200,473.53/300,646.04 = 105,650.69/x
  3. Step 3: Cross multiply
    200,473.53x = 300,646.04 × 105,650.69
  4. Step 4: Simplify right side
    200,473.53x = 31,763,459,540.28
  5. Step 5: Solve for x
    x = 31,763,459,540.28/200,473.53
  6. Step 6: Final answer
    x = 158,442.16

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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.