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Finding the Fourth Proportional to 101,897.70, 152,846.55 and 82,214.70

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Solution

The fourth proportional to 101,897.70, 152,846.55 and 82,214.70 is: 123,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,897.70 : 152,846.55 = 82,214.70 : x
  2. Step 2: Convert to fraction form
    101,897.70/152,846.55 = 82,214.70/x
  3. Step 3: Cross multiply
    101,897.70x = 152,846.55 × 82,214.70
  4. Step 4: Simplify right side
    101,897.70x = 12,566,233,254.29
  5. Step 5: Solve for x
    x = 12,566,233,254.29/101,897.70
  6. Step 6: Final answer
    x = 123,322.05

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Why These Related Problems?

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