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Finding the Fourth Proportional to 122,091.99, 182,809.87 and 77,477.19

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Solution

The fourth proportional to 122,091.99, 182,809.87 and 77,477.19 is: 116,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,091.99 : 182,809.87 = 77,477.19 : x
  2. Step 2: Convert to fraction form
    122,091.99/182,809.87 = 77,477.19/x
  3. Step 3: Cross multiply
    122,091.99x = 182,809.87 × 77,477.19
  4. Step 4: Simplify right side
    122,091.99x = 14,163,595,031.87
  5. Step 5: Solve for x
    x = 14,163,595,031.87/122,091.99
  6. Step 6: Final answer
    x = 116,007.57

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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.