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Finding the Fourth Proportional to 164,902.56, 227,459.52 and 110,457.60

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Solution

The fourth proportional to 164,902.56, 227,459.52 and 110,457.60 is: 152,360.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,902.56 : 227,459.52 = 110,457.60 : x
  2. Step 2: Convert to fraction form
    164,902.56/227,459.52 = 110,457.60/x
  3. Step 3: Cross multiply
    164,902.56x = 227,459.52 × 110,457.60
  4. Step 4: Simplify right side
    164,902.56x = 25,124,632,676.35
  5. Step 5: Solve for x
    x = 25,124,632,676.35/164,902.56
  6. Step 6: Final answer
    x = 152,360.48

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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.