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Finding the Fourth Proportional to 128,410.94, 177,197.47 and 71,811.38

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Solution

The fourth proportional to 128,410.94, 177,197.47 and 71,811.38 is: 99,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,410.94 : 177,197.47 = 71,811.38 : x
  2. Step 2: Convert to fraction form
    128,410.94/177,197.47 = 71,811.38/x
  3. Step 3: Cross multiply
    128,410.94x = 177,197.47 × 71,811.38
  4. Step 4: Simplify right side
    128,410.94x = 12,724,793,787.69
  5. Step 5: Solve for x
    x = 12,724,793,787.69/128,410.94
  6. Step 6: Final answer
    x = 99,094.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.