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Finding the Fourth Proportional to 100,207.72, 138,142.02 and 81,312.04

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Solution

The fourth proportional to 100,207.72, 138,142.02 and 81,312.04 is: 112,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,207.72 : 138,142.02 = 81,312.04 : x
  2. Step 2: Convert to fraction form
    100,207.72/138,142.02 = 81,312.04/x
  3. Step 3: Cross multiply
    100,207.72x = 138,142.02 × 81,312.04
  4. Step 4: Simplify right side
    100,207.72x = 11,232,609,455.92
  5. Step 5: Solve for x
    x = 11,232,609,455.92/100,207.72
  6. Step 6: Final answer
    x = 112,093.25

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