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Finding the Fourth Proportional to 161,425.71, 222,782.00 and 97,759.71

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Solution

The fourth proportional to 161,425.71, 222,782.00 and 97,759.71 is: 134,917.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,425.71 : 222,782.00 = 97,759.71 : x
  2. Step 2: Convert to fraction form
    161,425.71/222,782.00 = 97,759.71/x
  3. Step 3: Cross multiply
    161,425.71x = 222,782.00 × 97,759.71
  4. Step 4: Simplify right side
    161,425.71x = 21,779,103,224.42
  5. Step 5: Solve for x
    x = 21,779,103,224.42/161,425.71
  6. Step 6: Final answer
    x = 134,917.19

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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.