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Finding the Fourth Proportional to 200,910.20, 301,365.30 and 130,051.40

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Solution

The fourth proportional to 200,910.20, 301,365.30 and 130,051.40 is: 195,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,910.20 : 301,365.30 = 130,051.40 : x
  2. Step 2: Convert to fraction form
    200,910.20/301,365.30 = 130,051.40/x
  3. Step 3: Cross multiply
    200,910.20x = 301,365.30 × 130,051.40
  4. Step 4: Simplify right side
    200,910.20x = 39,192,979,176.42
  5. Step 5: Solve for x
    x = 39,192,979,176.42/200,910.20
  6. Step 6: Final answer
    x = 195,077.10

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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.