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Finding the Fourth Proportional to 149,642.20, 224,351.70 and 90,465.40

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Solution

The fourth proportional to 149,642.20, 224,351.70 and 90,465.40 is: 135,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,642.20 : 224,351.70 = 90,465.40 : x
  2. Step 2: Convert to fraction form
    149,642.20/224,351.70 = 90,465.40/x
  3. Step 3: Cross multiply
    149,642.20x = 224,351.70 × 90,465.40
  4. Step 4: Simplify right side
    149,642.20x = 20,296,066,281.18
  5. Step 5: Solve for x
    x = 20,296,066,281.18/149,642.20
  6. Step 6: Final answer
    x = 135,630.63

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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.