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Finding the Fourth Proportional to 201,472.56, 278,032.79 and 110,835.42

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Solution

The fourth proportional to 201,472.56, 278,032.79 and 110,835.42 is: 152,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,472.56 : 278,032.79 = 110,835.42 : x
  2. Step 2: Convert to fraction form
    201,472.56/278,032.79 = 110,835.42/x
  3. Step 3: Cross multiply
    201,472.56x = 278,032.79 × 110,835.42
  4. Step 4: Simplify right side
    201,472.56x = 30,815,880,499.24
  5. Step 5: Solve for x
    x = 30,815,880,499.24/201,472.56
  6. Step 6: Final answer
    x = 152,953.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.