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Finding the Fourth Proportional to 141,415, 212,111.40 and 82,212.88

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Solution

The fourth proportional to 141,415, 212,111.40 and 82,212.88 is: 123,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,415 : 212,111.40 = 82,212.88 : x
  2. Step 2: Convert to fraction form
    141,415/212,111.40 = 82,212.88/x
  3. Step 3: Cross multiply
    141,415x = 212,111.40 × 82,212.88
  4. Step 4: Simplify right side
    141,415x = 17,438,289,074.83
  5. Step 5: Solve for x
    x = 17,438,289,074.83/141,415
  6. Step 6: Final answer
    x = 123,312.87

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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.