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Finding the Fourth Proportional to 289,063.10, 398,907.51 and 161,738.75

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Solution

The fourth proportional to 289,063.10, 398,907.51 and 161,738.75 is: 223,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,063.10 : 398,907.51 = 161,738.75 : x
  2. Step 2: Convert to fraction form
    289,063.10/398,907.51 = 161,738.75/x
  3. Step 3: Cross multiply
    289,063.10x = 398,907.51 × 161,738.75
  4. Step 4: Simplify right side
    289,063.10x = 64,518,802,033.01
  5. Step 5: Solve for x
    x = 64,518,802,033.01/289,063.10
  6. Step 6: Final answer
    x = 223,199.72

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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.