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Finding the Fourth Proportional to 164,903.56, 227,460.90 and 110,458.60

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Solution

The fourth proportional to 164,903.56, 227,460.90 and 110,458.60 is: 152,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,903.56 : 227,460.90 = 110,458.60 : x
  2. Step 2: Convert to fraction form
    164,903.56/227,460.90 = 110,458.60/x
  3. Step 3: Cross multiply
    164,903.56x = 227,460.90 × 110,458.60
  4. Step 4: Simplify right side
    164,903.56x = 25,125,012,568.74
  5. Step 5: Solve for x
    x = 25,125,012,568.74/164,903.56
  6. Step 6: Final answer
    x = 152,361.86

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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.