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Finding the Fourth Proportional to 229,849.96, 344,774.34 and 72,078.16

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Solution

The fourth proportional to 229,849.96, 344,774.34 and 72,078.16 is: 108,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,849.96 : 344,774.34 = 72,078.16 : x
  2. Step 2: Convert to fraction form
    229,849.96/344,774.34 = 72,078.16/x
  3. Step 3: Cross multiply
    229,849.96x = 344,774.34 × 72,078.16
  4. Step 4: Simplify right side
    229,849.96x = 24,850,700,042.41
  5. Step 5: Solve for x
    x = 24,850,700,042.41/229,849.96
  6. Step 6: Final answer
    x = 108,117.05

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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.