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Finding the Fourth Proportional to 209,977.70, 314,966.55 and 76,813.70

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Solution

The fourth proportional to 209,977.70, 314,966.55 and 76,813.70 is: 115,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,977.70 : 314,966.55 = 76,813.70 : x
  2. Step 2: Convert to fraction form
    209,977.70/314,966.55 = 76,813.70/x
  3. Step 3: Cross multiply
    209,977.70x = 314,966.55 × 76,813.70
  4. Step 4: Simplify right side
    209,977.70x = 24,193,746,081.74
  5. Step 5: Solve for x
    x = 24,193,746,081.74/209,977.70
  6. Step 6: Final answer
    x = 115,220.55

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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.