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Finding the Fourth Proportional to 153,093, 211,288.14 and 86,025

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Solution

The fourth proportional to 153,093, 211,288.14 and 86,025 is: 118,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,093 : 211,288.14 = 86,025 : x
  2. Step 2: Convert to fraction form
    153,093/211,288.14 = 86,025/x
  3. Step 3: Cross multiply
    153,093x = 211,288.14 × 86,025
  4. Step 4: Simplify right side
    153,093x = 18,176,062,243.50
  5. Step 5: Solve for x
    x = 18,176,062,243.50/153,093
  6. Step 6: Final answer
    x = 118,725.63

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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.