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Finding the Fourth Proportional to 201,769.40, 302,654.10 and 138,783.80

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Solution

The fourth proportional to 201,769.40, 302,654.10 and 138,783.80 is: 208,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,769.40 : 302,654.10 = 138,783.80 : x
  2. Step 2: Convert to fraction form
    201,769.40/302,654.10 = 138,783.80/x
  3. Step 3: Cross multiply
    201,769.40x = 302,654.10 × 138,783.80
  4. Step 4: Simplify right side
    201,769.40x = 42,003,486,083.58
  5. Step 5: Solve for x
    x = 42,003,486,083.58/201,769.40
  6. Step 6: Final answer
    x = 208,175.70

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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.