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Finding the Fourth Proportional to 151,398.54, 208,921.60 and 83,402.14

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Solution

The fourth proportional to 151,398.54, 208,921.60 and 83,402.14 is: 115,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,398.54 : 208,921.60 = 83,402.14 : x
  2. Step 2: Convert to fraction form
    151,398.54/208,921.60 = 83,402.14/x
  3. Step 3: Cross multiply
    151,398.54x = 208,921.60 × 83,402.14
  4. Step 4: Simplify right side
    151,398.54x = 17,424,508,532.22
  5. Step 5: Solve for x
    x = 17,424,508,532.22/151,398.54
  6. Step 6: Final answer
    x = 115,090.33

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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.