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Finding the Fourth Proportional to 202,458.96, 279,395.47 and 111,817.22

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Solution

The fourth proportional to 202,458.96, 279,395.47 and 111,817.22 is: 154,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,458.96 : 279,395.47 = 111,817.22 : x
  2. Step 2: Convert to fraction form
    202,458.96/279,395.47 = 111,817.22/x
  3. Step 3: Cross multiply
    202,458.96x = 279,395.47 × 111,817.22
  4. Step 4: Simplify right side
    202,458.96x = 31,241,224,735.99
  5. Step 5: Solve for x
    x = 31,241,224,735.99/202,458.96
  6. Step 6: Final answer
    x = 154,308.93

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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.