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Finding the Fourth Proportional to 156,937.40, 235,146.90 and 133,609.40

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Solution

The fourth proportional to 156,937.40, 235,146.90 and 133,609.40 is: 200,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,937.40 : 235,146.90 = 133,609.40 : x
  2. Step 2: Convert to fraction form
    156,937.40/235,146.90 = 133,609.40/x
  3. Step 3: Cross multiply
    156,937.40x = 235,146.90 × 133,609.40
  4. Step 4: Simplify right side
    156,937.40x = 31,417,836,220.86
  5. Step 5: Solve for x
    x = 31,417,836,220.86/156,937.40
  6. Step 6: Final answer
    x = 200,193.43

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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.