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Finding the Fourth Proportional to 72,906.40, 102,380 and 72,906.40

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Solution

The fourth proportional to 72,906.40, 102,380 and 72,906.40 is: 102,380

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,906.40 : 102,380 = 72,906.40 : x
  2. Step 2: Convert to fraction form
    72,906.40/102,380 = 72,906.40/x
  3. Step 3: Cross multiply
    72,906.40x = 102,380 × 72,906.40
  4. Step 4: Simplify right side
    72,906.40x = 7,464,157,232.00
  5. Step 5: Solve for x
    x = 7,464,157,232.00/72,906.40
  6. Step 6: Final answer
    x = 102,380

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.