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Finding the Fourth Proportional to 200,535.09, 300,869.64 and 65,605.34

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Solution

The fourth proportional to 200,535.09, 300,869.64 and 65,605.34 is: 98,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,535.09 : 300,869.64 = 65,605.34 : x
  2. Step 2: Convert to fraction form
    200,535.09/300,869.64 = 65,605.34/x
  3. Step 3: Cross multiply
    200,535.09x = 300,869.64 × 65,605.34
  4. Step 4: Simplify right side
    200,535.09x = 19,738,655,780.05
  5. Step 5: Solve for x
    x = 19,738,655,780.05/200,535.09
  6. Step 6: Final answer
    x = 98,429.93

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1.5x scale

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.