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Finding the Fourth Proportional to 164,875.92, 247,141.20 and 76,187.60

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Solution

The fourth proportional to 164,875.92, 247,141.20 and 76,187.60 is: 114,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,875.92 : 247,141.20 = 76,187.60 : x
  2. Step 2: Convert to fraction form
    164,875.92/247,141.20 = 76,187.60/x
  3. Step 3: Cross multiply
    164,875.92x = 247,141.20 × 76,187.60
  4. Step 4: Simplify right side
    164,875.92x = 18,829,094,889.12
  5. Step 5: Solve for x
    x = 18,829,094,889.12/164,875.92
  6. Step 6: Final answer
    x = 114,201.61

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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.