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Finding the Fourth Proportional to 229,107.40, 343,661.10 and 199,582.90

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Solution

The fourth proportional to 229,107.40, 343,661.10 and 199,582.90 is: 299,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,107.40 : 343,661.10 = 199,582.90 : x
  2. Step 2: Convert to fraction form
    229,107.40/343,661.10 = 199,582.90/x
  3. Step 3: Cross multiply
    229,107.40x = 343,661.10 × 199,582.90
  4. Step 4: Simplify right side
    229,107.40x = 68,588,878,955.19
  5. Step 5: Solve for x
    x = 68,588,878,955.19/229,107.40
  6. Step 6: Final answer
    x = 299,374.35

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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.