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Finding the Fourth Proportional to 200,140.38, 300,554.01 and 177,701.76

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Solution

The fourth proportional to 200,140.38, 300,554.01 and 177,701.76 is: 266,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,140.38 : 300,554.01 = 177,701.76 : x
  2. Step 2: Convert to fraction form
    200,140.38/300,554.01 = 177,701.76/x
  3. Step 3: Cross multiply
    200,140.38x = 300,554.01 × 177,701.76
  4. Step 4: Simplify right side
    200,140.38x = 53,408,976,552.06
  5. Step 5: Solve for x
    x = 53,408,976,552.06/200,140.38
  6. Step 6: Final answer
    x = 266,857.58

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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.