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Finding the Fourth Proportional to 254,501.20, 381,751.80 and 160,022.80

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Solution

The fourth proportional to 254,501.20, 381,751.80 and 160,022.80 is: 240,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,501.20 : 381,751.80 = 160,022.80 : x
  2. Step 2: Convert to fraction form
    254,501.20/381,751.80 = 160,022.80/x
  3. Step 3: Cross multiply
    254,501.20x = 381,751.80 × 160,022.80
  4. Step 4: Simplify right side
    254,501.20x = 61,088,991,941.04
  5. Step 5: Solve for x
    x = 61,088,991,941.04/254,501.20
  6. Step 6: Final answer
    x = 240,034.20

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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.