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Finding the Fourth Proportional to 114,297.10, 171,056.85 and 100,300.30

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Solution

The fourth proportional to 114,297.10, 171,056.85 and 100,300.30 is: 150,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,297.10 : 171,056.85 = 100,300.30 : x
  2. Step 2: Convert to fraction form
    114,297.10/171,056.85 = 100,300.30/x
  3. Step 3: Cross multiply
    114,297.10x = 171,056.85 × 100,300.30
  4. Step 4: Simplify right side
    114,297.10x = 17,157,053,372.06
  5. Step 5: Solve for x
    x = 17,157,053,372.06/114,297.10
  6. Step 6: Final answer
    x = 150,109.26

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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.