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Finding the Fourth Proportional to 150,216.40, 224,741.40 and 97,728.40

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Solution

The fourth proportional to 150,216.40, 224,741.40 and 97,728.40 is: 146,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,216.40 : 224,741.40 = 97,728.40 : x
  2. Step 2: Convert to fraction form
    150,216.40/224,741.40 = 97,728.40/x
  3. Step 3: Cross multiply
    150,216.40x = 224,741.40 × 97,728.40
  4. Step 4: Simplify right side
    150,216.40x = 21,963,617,435.76
  5. Step 5: Solve for x
    x = 21,963,617,435.76/150,216.40
  6. Step 6: Final answer
    x = 146,213.18

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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.