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Finding the Fourth Proportional to 151,066.27, 208,476.69 and 83,088.38

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Solution

The fourth proportional to 151,066.27, 208,476.69 and 83,088.38 is: 114,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,066.27 : 208,476.69 = 83,088.38 : x
  2. Step 2: Convert to fraction form
    151,066.27/208,476.69 = 83,088.38/x
  3. Step 3: Cross multiply
    151,066.27x = 208,476.69 × 83,088.38
  4. Step 4: Simplify right side
    151,066.27x = 17,321,990,649.47
  5. Step 5: Solve for x
    x = 17,321,990,649.47/151,066.27
  6. Step 6: Final answer
    x = 114,664.85

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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.