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Finding the Fourth Proportional to 101,977.81, 152,950.91 and 52,094.77

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Solution

The fourth proportional to 101,977.81, 152,950.91 and 52,094.77 is: 78,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,977.81 : 152,950.91 = 52,094.77 : x
  2. Step 2: Convert to fraction form
    101,977.81/152,950.91 = 52,094.77/x
  3. Step 3: Cross multiply
    101,977.81x = 152,950.91 × 52,094.77
  4. Step 4: Simplify right side
    101,977.81x = 7,967,941,834.89
  5. Step 5: Solve for x
    x = 7,967,941,834.89/101,977.81
  6. Step 6: Final answer
    x = 78,134.08

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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.