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Finding the Fourth Proportional to 156,274.40, 234,411.60 and 149,713.40

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Solution

The fourth proportional to 156,274.40, 234,411.60 and 149,713.40 is: 224,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,274.40 : 234,411.60 = 149,713.40 : x
  2. Step 2: Convert to fraction form
    156,274.40/234,411.60 = 149,713.40/x
  3. Step 3: Cross multiply
    156,274.40x = 234,411.60 × 149,713.40
  4. Step 4: Simplify right side
    156,274.40x = 35,094,557,635.44
  5. Step 5: Solve for x
    x = 35,094,557,635.44/156,274.40
  6. Step 6: Final answer
    x = 224,570.10

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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.