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Finding the Fourth Proportional to 152,634.16, 210,633.78 and 85,566.16

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Solution

The fourth proportional to 152,634.16, 210,633.78 and 85,566.16 is: 118,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,634.16 : 210,633.78 = 85,566.16 : x
  2. Step 2: Convert to fraction form
    152,634.16/210,633.78 = 85,566.16/x
  3. Step 3: Cross multiply
    152,634.16x = 210,633.78 × 85,566.16
  4. Step 4: Simplify right side
    152,634.16x = 18,023,123,720.88
  5. Step 5: Solve for x
    x = 18,023,123,720.88/152,634.16
  6. Step 6: Final answer
    x = 118,080.54

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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.