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Finding the Fourth Proportional to 207,593.29, 286,419.47 and 116,917.54

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Solution

The fourth proportional to 207,593.29, 286,419.47 and 116,917.54 is: 161,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,593.29 : 286,419.47 = 116,917.54 : x
  2. Step 2: Convert to fraction form
    207,593.29/286,419.47 = 116,917.54/x
  3. Step 3: Cross multiply
    207,593.29x = 286,419.47 × 116,917.54
  4. Step 4: Simplify right side
    207,593.29x = 33,487,459,840.50
  5. Step 5: Solve for x
    x = 33,487,459,840.50/207,593.29
  6. Step 6: Final answer
    x = 161,312.82

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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.