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Finding the Fourth Proportional to 288,113.14, 397,580.06 and 160,796.94

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Solution

The fourth proportional to 288,113.14, 397,580.06 and 160,796.94 is: 221,890.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,113.14 : 397,580.06 = 160,796.94 : x
  2. Step 2: Convert to fraction form
    288,113.14/397,580.06 = 160,796.94/x
  3. Step 3: Cross multiply
    288,113.14x = 397,580.06 × 160,796.94
  4. Step 4: Simplify right side
    288,113.14x = 63,929,657,053.02
  5. Step 5: Solve for x
    x = 63,929,657,053.02/288,113.14
  6. Step 6: Final answer
    x = 221,890.81

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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.