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Finding the Fourth Proportional to 209,800.92, 314,421.12 and 76,555.92

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Solution

The fourth proportional to 209,800.92, 314,421.12 and 76,555.92 is: 114,731.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,800.92 : 314,421.12 = 76,555.92 : x
  2. Step 2: Convert to fraction form
    209,800.92/314,421.12 = 76,555.92/x
  3. Step 3: Cross multiply
    209,800.92x = 314,421.12 × 76,555.92
  4. Step 4: Simplify right side
    209,800.92x = 24,070,798,109.03
  5. Step 5: Solve for x
    x = 24,070,798,109.03/209,800.92
  6. Step 6: Final answer
    x = 114,731.61

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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.