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Finding the Fourth Proportional to 650,051.80, 975,150.60 and 200,769.10

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Solution

The fourth proportional to 650,051.80, 975,150.60 and 200,769.10 is: 301,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,051.80 : 975,150.60 = 200,769.10 : x
  2. Step 2: Convert to fraction form
    650,051.80/975,150.60 = 200,769.10/x
  3. Step 3: Cross multiply
    650,051.80x = 975,150.60 × 200,769.10
  4. Step 4: Simplify right side
    650,051.80x = 195,780,108,326.46
  5. Step 5: Solve for x
    x = 195,780,108,326.46/650,051.80
  6. Step 6: Final answer
    x = 301,176.17

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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.