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Finding the Fourth Proportional to 257,462.85, 355,310.91 and 160,724.01

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Solution

The fourth proportional to 257,462.85, 355,310.91 and 160,724.01 is: 221,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,462.85 : 355,310.91 = 160,724.01 : x
  2. Step 2: Convert to fraction form
    257,462.85/355,310.91 = 160,724.01/x
  3. Step 3: Cross multiply
    257,462.85x = 355,310.91 × 160,724.01
  4. Step 4: Simplify right side
    257,462.85x = 57,106,994,251.95
  5. Step 5: Solve for x
    x = 57,106,994,251.95/257,462.85
  6. Step 6: Final answer
    x = 221,806.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.