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Finding the Fourth Proportional to 201,868.40, 302,462.40 and 159,586.40

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Solution

The fourth proportional to 201,868.40, 302,462.40 and 159,586.40 is: 239,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,868.40 : 302,462.40 = 159,586.40 : x
  2. Step 2: Convert to fraction form
    201,868.40/302,462.40 = 159,586.40/x
  3. Step 3: Cross multiply
    201,868.40x = 302,462.40 × 159,586.40
  4. Step 4: Simplify right side
    201,868.40x = 48,268,885,551.36
  5. Step 5: Solve for x
    x = 48,268,885,551.36/201,868.40
  6. Step 6: Final answer
    x = 239,110.66

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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.