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Finding the Fourth Proportional to 262,022.80, 393,034.20 and 122,054.80

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Solution

The fourth proportional to 262,022.80, 393,034.20 and 122,054.80 is: 183,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,022.80 : 393,034.20 = 122,054.80 : x
  2. Step 2: Convert to fraction form
    262,022.80/393,034.20 = 122,054.80/x
  3. Step 3: Cross multiply
    262,022.80x = 393,034.20 × 122,054.80
  4. Step 4: Simplify right side
    262,022.80x = 47,971,710,674.16
  5. Step 5: Solve for x
    x = 47,971,710,674.16/262,022.80
  6. Step 6: Final answer
    x = 183,082.20

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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.