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Finding the Fourth Proportional to 152,923.26, 211,034.10 and 85,855.26

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Solution

The fourth proportional to 152,923.26, 211,034.10 and 85,855.26 is: 118,480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,923.26 : 211,034.10 = 85,855.26 : x
  2. Step 2: Convert to fraction form
    152,923.26/211,034.10 = 85,855.26/x
  3. Step 3: Cross multiply
    152,923.26x = 211,034.10 × 85,855.26
  4. Step 4: Simplify right side
    152,923.26x = 18,118,387,524.37
  5. Step 5: Solve for x
    x = 18,118,387,524.37/152,923.26
  6. Step 6: Final answer
    x = 118,480.26

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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.