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Finding the Fourth Proportional to 222,457.32, 306,745.11 and 141,757.02

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Solution

The fourth proportional to 222,457.32, 306,745.11 and 141,757.02 is: 195,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,457.32 : 306,745.11 = 141,757.02 : x
  2. Step 2: Convert to fraction form
    222,457.32/306,745.11 = 141,757.02/x
  3. Step 3: Cross multiply
    222,457.32x = 306,745.11 × 141,757.02
  4. Step 4: Simplify right side
    222,457.32x = 43,483,272,693.17
  5. Step 5: Solve for x
    x = 43,483,272,693.17/222,457.32
  6. Step 6: Final answer
    x = 195,467.93

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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.