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Finding the Fourth Proportional to 200,400.62, 300,507.44 and 116,184.92

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Solution

The fourth proportional to 200,400.62, 300,507.44 and 116,184.92 is: 174,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,400.62 : 300,507.44 = 116,184.92 : x
  2. Step 2: Convert to fraction form
    200,400.62/300,507.44 = 116,184.92/x
  3. Step 3: Cross multiply
    200,400.62x = 300,507.44 × 116,184.92
  4. Step 4: Simplify right side
    200,400.62x = 34,914,430,792.34
  5. Step 5: Solve for x
    x = 34,914,430,792.34/200,400.62
  6. Step 6: Final answer
    x = 174,223.17

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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.