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Finding the Fourth Proportional to 209,764.84, 314,701.02 and 69,562.60

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Solution

The fourth proportional to 209,764.84, 314,701.02 and 69,562.60 is: 104,361.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,764.84 : 314,701.02 = 69,562.60 : x
  2. Step 2: Convert to fraction form
    209,764.84/314,701.02 = 69,562.60/x
  3. Step 3: Cross multiply
    209,764.84x = 314,701.02 × 69,562.60
  4. Step 4: Simplify right side
    209,764.84x = 21,891,421,173.85
  5. Step 5: Solve for x
    x = 21,891,421,173.85/209,764.84
  6. Step 6: Final answer
    x = 104,361.73

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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.