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Finding the Fourth Proportional to 118,984.55, 164,203.81 and 71,228.67

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Solution

The fourth proportional to 118,984.55, 164,203.81 and 71,228.67 is: 98,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,984.55 : 164,203.81 = 71,228.67 : x
  2. Step 2: Convert to fraction form
    118,984.55/164,203.81 = 71,228.67/x
  3. Step 3: Cross multiply
    118,984.55x = 164,203.81 × 71,228.67
  4. Step 4: Simplify right side
    118,984.55x = 11,696,018,201.40
  5. Step 5: Solve for x
    x = 11,696,018,201.40/118,984.55
  6. Step 6: Final answer
    x = 98,298.63

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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.