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Finding the Fourth Proportional to 289,151.20, 433,143.60 and 164,346.40

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Solution

The fourth proportional to 289,151.20, 433,143.60 and 164,346.40 is: 246,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,151.20 : 433,143.60 = 164,346.40 : x
  2. Step 2: Convert to fraction form
    289,151.20/433,143.60 = 164,346.40/x
  3. Step 3: Cross multiply
    289,151.20x = 433,143.60 × 164,346.40
  4. Step 4: Simplify right side
    289,151.20x = 71,185,591,343.04
  5. Step 5: Solve for x
    x = 71,185,591,343.04/289,151.20
  6. Step 6: Final answer
    x = 246,188.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.