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Finding the Fourth Proportional to 101,977.62, 152,950.61 and 52,094.58

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Solution

The fourth proportional to 101,977.62, 152,950.61 and 52,094.58 is: 78,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,977.62 : 152,950.61 = 52,094.58 : x
  2. Step 2: Convert to fraction form
    101,977.62/152,950.61 = 52,094.58/x
  3. Step 3: Cross multiply
    101,977.62x = 152,950.61 × 52,094.58
  4. Step 4: Simplify right side
    101,977.62x = 7,967,897,528.22
  5. Step 5: Solve for x
    x = 7,967,897,528.22/101,977.62
  6. Step 6: Final answer
    x = 78,133.79

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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.