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Finding the Fourth Proportional to 281,361.69, 388,280.52 and 160,501.77

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Solution

The fourth proportional to 281,361.69, 388,280.52 and 160,501.77 is: 221,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,361.69 : 388,280.52 = 160,501.77 : x
  2. Step 2: Convert to fraction form
    281,361.69/388,280.52 = 160,501.77/x
  3. Step 3: Cross multiply
    281,361.69x = 388,280.52 × 160,501.77
  4. Step 4: Simplify right side
    281,361.69x = 62,319,710,716.52
  5. Step 5: Solve for x
    x = 62,319,710,716.52/281,361.69
  6. Step 6: Final answer
    x = 221,493.23

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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.