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Finding the Fourth Proportional to 160,206.42, 221,180.79 and 99,858.80

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Solution

The fourth proportional to 160,206.42, 221,180.79 and 99,858.80 is: 137,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,206.42 : 221,180.79 = 99,858.80 : x
  2. Step 2: Convert to fraction form
    160,206.42/221,180.79 = 99,858.80/x
  3. Step 3: Cross multiply
    160,206.42x = 221,180.79 × 99,858.80
  4. Step 4: Simplify right side
    160,206.42x = 22,086,849,522.23
  5. Step 5: Solve for x
    x = 22,086,849,522.23/160,206.42
  6. Step 6: Final answer
    x = 137,864.95

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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.