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Finding the Fourth Proportional to 262,146.35, 361,800.80 and 160,230.53

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Solution

The fourth proportional to 262,146.35, 361,800.80 and 160,230.53 is: 221,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,146.35 : 361,800.80 = 160,230.53 : x
  2. Step 2: Convert to fraction form
    262,146.35/361,800.80 = 160,230.53/x
  3. Step 3: Cross multiply
    262,146.35x = 361,800.80 × 160,230.53
  4. Step 4: Simplify right side
    262,146.35x = 57,971,531,328.27
  5. Step 5: Solve for x
    x = 57,971,531,328.27/262,146.35
  6. Step 6: Final answer
    x = 221,141.86

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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.