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Finding the Fourth Proportional to 212,930, 319,395.48 and 65,186

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Solution

The fourth proportional to 212,930, 319,395.48 and 65,186 is: 97,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,930 : 319,395.48 = 65,186 : x
  2. Step 2: Convert to fraction form
    212,930/319,395.48 = 65,186/x
  3. Step 3: Cross multiply
    212,930x = 319,395.48 × 65,186
  4. Step 4: Simplify right side
    212,930x = 20,820,113,759.28
  5. Step 5: Solve for x
    x = 20,820,113,759.28/212,930
  6. Step 6: Final answer
    x = 97,779.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.