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Finding the Fourth Proportional to 263,608.16, 363,764.84 and 156,188.08

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Solution

The fourth proportional to 263,608.16, 363,764.84 and 156,188.08 is: 215,531.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,608.16 : 363,764.84 = 156,188.08 : x
  2. Step 2: Convert to fraction form
    263,608.16/363,764.84 = 156,188.08/x
  3. Step 3: Cross multiply
    263,608.16x = 363,764.84 × 156,188.08
  4. Step 4: Simplify right side
    263,608.16x = 56,815,731,931.11
  5. Step 5: Solve for x
    x = 56,815,731,931.11/263,608.16
  6. Step 6: Final answer
    x = 215,531.01

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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.