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Finding the Fourth Proportional to 201,138.60, 301,902.30 and 101,411.40

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Solution

The fourth proportional to 201,138.60, 301,902.30 and 101,411.40 is: 152,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,138.60 : 301,902.30 = 101,411.40 : x
  2. Step 2: Convert to fraction form
    201,138.60/301,902.30 = 101,411.40/x
  3. Step 3: Cross multiply
    201,138.60x = 301,902.30 × 101,411.40
  4. Step 4: Simplify right side
    201,138.60x = 30,616,334,906.22
  5. Step 5: Solve for x
    x = 30,616,334,906.22/201,138.60
  6. Step 6: Final answer
    x = 152,215.11

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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.