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Finding the Fourth Proportional to 200,204.80, 300,064.20 and 115,802.80

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Solution

The fourth proportional to 200,204.80, 300,064.20 and 115,802.80 is: 173,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,204.80 : 300,064.20 = 115,802.80 : x
  2. Step 2: Convert to fraction form
    200,204.80/300,064.20 = 115,802.80/x
  3. Step 3: Cross multiply
    200,204.80x = 300,064.20 × 115,802.80
  4. Step 4: Simplify right side
    200,204.80x = 34,748,274,539.76
  5. Step 5: Solve for x
    x = 34,748,274,539.76/200,204.80
  6. Step 6: Final answer
    x = 173,563.64

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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.