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Finding the Fourth Proportional to 104,419.92, 156,541.32 and 34,280.40

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Solution

The fourth proportional to 104,419.92, 156,541.32 and 34,280.40 is: 51,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,419.92 : 156,541.32 = 34,280.40 : x
  2. Step 2: Convert to fraction form
    104,419.92/156,541.32 = 34,280.40/x
  3. Step 3: Cross multiply
    104,419.92x = 156,541.32 × 34,280.40
  4. Step 4: Simplify right side
    104,419.92x = 5,366,299,066.13
  5. Step 5: Solve for x
    x = 5,366,299,066.13/104,419.92
  6. Step 6: Final answer
    x = 51,391.53

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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.