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Finding the Fourth Proportional to 164,955.30, 227,640.96 and 89,503.80

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Solution

The fourth proportional to 164,955.30, 227,640.96 and 89,503.80 is: 123,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,955.30 : 227,640.96 = 89,503.80 : x
  2. Step 2: Convert to fraction form
    164,955.30/227,640.96 = 89,503.80/x
  3. Step 3: Cross multiply
    164,955.30x = 227,640.96 × 89,503.80
  4. Step 4: Simplify right side
    164,955.30x = 20,374,730,955.65
  5. Step 5: Solve for x
    x = 20,374,730,955.65/164,955.30
  6. Step 6: Final answer
    x = 123,516.68

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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.