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Finding the Fourth Proportional to 209,493.84, 314,050.14 and 76,343.76

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Solution

The fourth proportional to 209,493.84, 314,050.14 and 76,343.76 is: 114,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,493.84 : 314,050.14 = 76,343.76 : x
  2. Step 2: Convert to fraction form
    209,493.84/314,050.14 = 76,343.76/x
  3. Step 3: Cross multiply
    209,493.84x = 314,050.14 × 76,343.76
  4. Step 4: Simplify right side
    209,493.84x = 23,975,768,516.13
  5. Step 5: Solve for x
    x = 23,975,768,516.13/209,493.84
  6. Step 6: Final answer
    x = 114,446.17

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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.