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Finding the Fourth Proportional to 209,594.92, 314,202.72 and 76,443.96

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Solution

The fourth proportional to 209,594.92, 314,202.72 and 76,443.96 is: 114,596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,594.92 : 314,202.72 = 76,443.96 : x
  2. Step 2: Convert to fraction form
    209,594.92/314,202.72 = 76,443.96/x
  3. Step 3: Cross multiply
    209,594.92x = 314,202.72 × 76,443.96
  4. Step 4: Simplify right side
    209,594.92x = 24,018,900,159.57
  5. Step 5: Solve for x
    x = 24,018,900,159.57/209,594.92
  6. Step 6: Final answer
    x = 114,596.77

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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.