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Finding the Fourth Proportional to 150,005.70, 224,749.35 and 97,388.10

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Solution

The fourth proportional to 150,005.70, 224,749.35 and 97,388.10 is: 145,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,005.70 : 224,749.35 = 97,388.10 : x
  2. Step 2: Convert to fraction form
    150,005.70/224,749.35 = 97,388.10/x
  3. Step 3: Cross multiply
    150,005.70x = 224,749.35 × 97,388.10
  4. Step 4: Simplify right side
    150,005.70x = 21,887,912,172.74
  5. Step 5: Solve for x
    x = 21,887,912,172.74/150,005.70
  6. Step 6: Final answer
    x = 145,913.87

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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.