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Finding the Fourth Proportional to 200,859.84, 301,289.67 and 76,200.84

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Solution

The fourth proportional to 200,859.84, 301,289.67 and 76,200.84 is: 114,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,859.84 : 301,289.67 = 76,200.84 : x
  2. Step 2: Convert to fraction form
    200,859.84/301,289.67 = 76,200.84/x
  3. Step 3: Cross multiply
    200,859.84x = 301,289.67 × 76,200.84
  4. Step 4: Simplify right side
    200,859.84x = 22,958,525,937.32
  5. Step 5: Solve for x
    x = 22,958,525,937.32/200,859.84
  6. Step 6: Final answer
    x = 114,301.23

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1.5x scale

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.