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Finding the Fourth Proportional to 160,589.94, 221,718.11 and 103,255.02

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Solution

The fourth proportional to 160,589.94, 221,718.11 and 103,255.02 is: 142,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,589.94 : 221,718.11 = 103,255.02 : x
  2. Step 2: Convert to fraction form
    160,589.94/221,718.11 = 103,255.02/x
  3. Step 3: Cross multiply
    160,589.94x = 221,718.11 × 103,255.02
  4. Step 4: Simplify right side
    160,589.94x = 22,893,507,031.96
  5. Step 5: Solve for x
    x = 22,893,507,031.96/160,589.94
  6. Step 6: Final answer
    x = 142,558.78

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1.5x scale

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.