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Finding the Fourth Proportional to 209,596.68, 314,441.43 and 76,476.57

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Solution

The fourth proportional to 209,596.68, 314,441.43 and 76,476.57 is: 114,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,596.68 : 314,441.43 = 76,476.57 : x
  2. Step 2: Convert to fraction form
    209,596.68/314,441.43 = 76,476.57/x
  3. Step 3: Cross multiply
    209,596.68x = 314,441.43 × 76,476.57
  4. Step 4: Simplify right side
    209,596.68x = 24,047,402,032.30
  5. Step 5: Solve for x
    x = 24,047,402,032.30/209,596.68
  6. Step 6: Final answer
    x = 114,731.79

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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.