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Finding the Fourth Proportional to 208,494.32, 287,722.02 and 113,000.96

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Solution

The fourth proportional to 208,494.32, 287,722.02 and 113,000.96 is: 155,941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,494.32 : 287,722.02 = 113,000.96 : x
  2. Step 2: Convert to fraction form
    208,494.32/287,722.02 = 113,000.96/x
  3. Step 3: Cross multiply
    208,494.32x = 287,722.02 × 113,000.96
  4. Step 4: Simplify right side
    208,494.32x = 32,512,864,473.14
  5. Step 5: Solve for x
    x = 32,512,864,473.14/208,494.32
  6. Step 6: Final answer
    x = 155,941.25

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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.