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Finding the Fourth Proportional to 289,102.98, 398,942.82 and 160,032.72

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Solution

The fourth proportional to 289,102.98, 398,942.82 and 160,032.72 is: 220,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,102.98 : 398,942.82 = 160,032.72 : x
  2. Step 2: Convert to fraction form
    289,102.98/398,942.82 = 160,032.72/x
  3. Step 3: Cross multiply
    289,102.98x = 398,942.82 × 160,032.72
  4. Step 4: Simplify right side
    289,102.98x = 63,843,904,609.07
  5. Step 5: Solve for x
    x = 63,843,904,609.07/289,102.98
  6. Step 6: Final answer
    x = 220,834.47

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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.