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Finding the Fourth Proportional to 201,702.86, 278,347.72 and 111,056.49

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Solution

The fourth proportional to 201,702.86, 278,347.72 and 111,056.49 is: 153,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702.86 : 278,347.72 = 111,056.49 : x
  2. Step 2: Convert to fraction form
    201,702.86/278,347.72 = 111,056.49/x
  3. Step 3: Cross multiply
    201,702.86x = 278,347.72 × 111,056.49
  4. Step 4: Simplify right side
    201,702.86x = 30,912,320,782.70
  5. Step 5: Solve for x
    x = 30,912,320,782.70/201,702.86
  6. Step 6: Final answer
    x = 153,256.73

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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.