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Finding the Fourth Proportional to 229,164.10, 343,746.15 and 149,449.30

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Solution

The fourth proportional to 229,164.10, 343,746.15 and 149,449.30 is: 224,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,164.10 : 343,746.15 = 149,449.30 : x
  2. Step 2: Convert to fraction form
    229,164.10/343,746.15 = 149,449.30/x
  3. Step 3: Cross multiply
    229,164.10x = 343,746.15 × 149,449.30
  4. Step 4: Simplify right side
    229,164.10x = 51,372,621,495.20
  5. Step 5: Solve for x
    x = 51,372,621,495.20/229,164.10
  6. Step 6: Final answer
    x = 224,173.95

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Why These Related Problems?

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