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Finding the Fourth Proportional to 150,215.40, 224,739.90 and 97,727.40

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Solution

The fourth proportional to 150,215.40, 224,739.90 and 97,727.40 is: 146,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,215.40 : 224,739.90 = 97,727.40 : x
  2. Step 2: Convert to fraction form
    150,215.40/224,739.90 = 97,727.40/x
  3. Step 3: Cross multiply
    150,215.40x = 224,739.90 × 97,727.40
  4. Step 4: Simplify right side
    150,215.40x = 21,963,246,103.26
  5. Step 5: Solve for x
    x = 21,963,246,103.26/150,215.40
  6. Step 6: Final answer
    x = 146,211.68

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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.