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Finding the Fourth Proportional to 160,301.80, 221,176.74 and 103,645

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Solution

The fourth proportional to 160,301.80, 221,176.74 and 103,645 is: 143,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,301.80 : 221,176.74 = 103,645 : x
  2. Step 2: Convert to fraction form
    160,301.80/221,176.74 = 103,645/x
  3. Step 3: Cross multiply
    160,301.80x = 221,176.74 × 103,645
  4. Step 4: Simplify right side
    160,301.80x = 22,923,863,217.30
  5. Step 5: Solve for x
    x = 22,923,863,217.30/160,301.80
  6. Step 6: Final answer
    x = 143,004.40

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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.