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Finding the Fourth Proportional to 117,289, 161,858.82 and 64,297

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Solution

The fourth proportional to 117,289, 161,858.82 and 64,297 is: 88,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,289 : 161,858.82 = 64,297 : x
  2. Step 2: Convert to fraction form
    117,289/161,858.82 = 64,297/x
  3. Step 3: Cross multiply
    117,289x = 161,858.82 × 64,297
  4. Step 4: Simplify right side
    117,289x = 10,407,036,549.54
  5. Step 5: Solve for x
    x = 10,407,036,549.54/117,289
  6. Step 6: Final answer
    x = 88,729.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.