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Finding the Fourth Proportional to 153,682, 212,081.16 and 83,026

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Solution

The fourth proportional to 153,682, 212,081.16 and 83,026 is: 114,575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,682 : 212,081.16 = 83,026 : x
  2. Step 2: Convert to fraction form
    153,682/212,081.16 = 83,026/x
  3. Step 3: Cross multiply
    153,682x = 212,081.16 × 83,026
  4. Step 4: Simplify right side
    153,682x = 17,608,250,390.16
  5. Step 5: Solve for x
    x = 17,608,250,390.16/153,682
  6. Step 6: Final answer
    x = 114,575.88

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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.