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Finding the Fourth Proportional to 150,203.40, 224,721.90 and 97,715.40

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Solution

The fourth proportional to 150,203.40, 224,721.90 and 97,715.40 is: 146,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,203.40 : 224,721.90 = 97,715.40 : x
  2. Step 2: Convert to fraction form
    150,203.40/224,721.90 = 97,715.40/x
  3. Step 3: Cross multiply
    150,203.40x = 224,721.90 × 97,715.40
  4. Step 4: Simplify right side
    150,203.40x = 21,958,790,347.26
  5. Step 5: Solve for x
    x = 21,958,790,347.26/150,203.40
  6. Step 6: Final answer
    x = 146,193.70

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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.