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Finding the Fourth Proportional to 164,969.76, 227,662.68 and 89,518.32

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Solution

The fourth proportional to 164,969.76, 227,662.68 and 89,518.32 is: 123,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,969.76 : 227,662.68 = 89,518.32 : x
  2. Step 2: Convert to fraction form
    164,969.76/227,662.68 = 89,518.32/x
  3. Step 3: Cross multiply
    164,969.76x = 227,662.68 × 89,518.32
  4. Step 4: Simplify right side
    164,969.76x = 20,379,980,640.30
  5. Step 5: Solve for x
    x = 20,379,980,640.30/164,969.76
  6. Step 6: Final answer
    x = 123,537.68

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1.5x scale

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.