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Finding the Fourth Proportional to 160,684.42, 221,718.45 and 100,245.46

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Solution

The fourth proportional to 160,684.42, 221,718.45 and 100,245.46 is: 138,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,684.42 : 221,718.45 = 100,245.46 : x
  2. Step 2: Convert to fraction form
    160,684.42/221,718.45 = 100,245.46/x
  3. Step 3: Cross multiply
    160,684.42x = 221,718.45 × 100,245.46
  4. Step 4: Simplify right side
    160,684.42x = 22,226,268,010.74
  5. Step 5: Solve for x
    x = 22,226,268,010.74/160,684.42
  6. Step 6: Final answer
    x = 138,322.48

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