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Finding the Fourth Proportional to 257,053.88, 354,683.95 and 161,505.22

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Solution

The fourth proportional to 257,053.88, 354,683.95 and 161,505.22 is: 222,845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,053.88 : 354,683.95 = 161,505.22 : x
  2. Step 2: Convert to fraction form
    257,053.88/354,683.95 = 161,505.22/x
  3. Step 3: Cross multiply
    257,053.88x = 354,683.95 × 161,505.22
  4. Step 4: Simplify right side
    257,053.88x = 57,283,308,749.78
  5. Step 5: Solve for x
    x = 57,283,308,749.78/257,053.88
  6. Step 6: Final answer
    x = 222,845.53

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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.