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Finding the Fourth Proportional to 117,038.38, 161,512.86 and 66,061.84

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Solution

The fourth proportional to 117,038.38, 161,512.86 and 66,061.84 is: 91,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,038.38 : 161,512.86 = 66,061.84 : x
  2. Step 2: Convert to fraction form
    117,038.38/161,512.86 = 66,061.84/x
  3. Step 3: Cross multiply
    117,038.38x = 161,512.86 × 66,061.84
  4. Step 4: Simplify right side
    117,038.38x = 10,669,836,715.26
  5. Step 5: Solve for x
    x = 10,669,836,715.26/117,038.38
  6. Step 6: Final answer
    x = 91,165.28

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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.