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Finding the Fourth Proportional to 164,495.75, 227,007.90 and 92,875.77

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Solution

The fourth proportional to 164,495.75, 227,007.90 and 92,875.77 is: 128,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,495.75 : 227,007.90 = 92,875.77 : x
  2. Step 2: Convert to fraction form
    164,495.75/227,007.90 = 92,875.77/x
  3. Step 3: Cross multiply
    164,495.75x = 227,007.90 × 92,875.77
  4. Step 4: Simplify right side
    164,495.75x = 21,083,533,508.58
  5. Step 5: Solve for x
    x = 21,083,533,508.58/164,495.75
  6. Step 6: Final answer
    x = 128,170.69

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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.