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Finding the Fourth Proportional to 201,641.09, 302,648.45 and 101,871.59

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Solution

The fourth proportional to 201,641.09, 302,648.45 and 101,871.59 is: 152,901.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,641.09 : 302,648.45 = 101,871.59 : x
  2. Step 2: Convert to fraction form
    201,641.09/302,648.45 = 101,871.59/x
  3. Step 3: Cross multiply
    201,641.09x = 302,648.45 × 101,871.59
  4. Step 4: Simplify right side
    201,641.09x = 30,831,276,789.94
  5. Step 5: Solve for x
    x = 30,831,276,789.94/201,641.09
  6. Step 6: Final answer
    x = 152,901.76

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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.