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Finding the Fourth Proportional to 208,522.42, 287,753.22 and 113,027.06

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Solution

The fourth proportional to 208,522.42, 287,753.22 and 113,027.06 is: 155,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,522.42 : 287,753.22 = 113,027.06 : x
  2. Step 2: Convert to fraction form
    208,522.42/287,753.22 = 113,027.06/x
  3. Step 3: Cross multiply
    208,522.42x = 287,753.22 × 113,027.06
  4. Step 4: Simplify right side
    208,522.42x = 32,523,900,462.13
  5. Step 5: Solve for x
    x = 32,523,900,462.13/208,522.42
  6. Step 6: Final answer
    x = 155,973.16

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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.