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Finding the Fourth Proportional to 288,125.28, 397,596.69 and 160,809.06

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Solution

The fourth proportional to 288,125.28, 397,596.69 and 160,809.06 is: 221,907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,125.28 : 397,596.69 = 160,809.06 : x
  2. Step 2: Convert to fraction form
    288,125.28/397,596.69 = 160,809.06/x
  3. Step 3: Cross multiply
    288,125.28x = 397,596.69 × 160,809.06
  4. Step 4: Simplify right side
    288,125.28x = 63,937,149,978.01
  5. Step 5: Solve for x
    x = 63,937,149,978.01/288,125.28
  6. Step 6: Final answer
    x = 221,907.46

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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.