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Finding the Fourth Proportional to 229,113.34, 343,210.12 and 116,789.02

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Solution

The fourth proportional to 229,113.34, 343,210.12 and 116,789.02 is: 174,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,113.34 : 343,210.12 = 116,789.02 : x
  2. Step 2: Convert to fraction form
    229,113.34/343,210.12 = 116,789.02/x
  3. Step 3: Cross multiply
    229,113.34x = 343,210.12 × 116,789.02
  4. Step 4: Simplify right side
    229,113.34x = 40,083,173,568.88
  5. Step 5: Solve for x
    x = 40,083,173,568.88/229,113.34
  6. Step 6: Final answer
    x = 174,949.10

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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.