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Finding the Fourth Proportional to 117,358.74, 161,952.21 and 67,054.50

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Solution

The fourth proportional to 117,358.74, 161,952.21 and 67,054.50 is: 92,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,358.74 : 161,952.21 = 67,054.50 : x
  2. Step 2: Convert to fraction form
    117,358.74/161,952.21 = 67,054.50/x
  3. Step 3: Cross multiply
    117,358.74x = 161,952.21 × 67,054.50
  4. Step 4: Simplify right side
    117,358.74x = 10,859,624,465.45
  5. Step 5: Solve for x
    x = 10,859,624,465.45/117,358.74
  6. Step 6: Final answer
    x = 92,533.58

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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.