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Finding the Fourth Proportional to 118,931.45, 164,125.32 and 65,217.38

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Solution

The fourth proportional to 118,931.45, 164,125.32 and 65,217.38 is: 89,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,931.45 : 164,125.32 = 65,217.38 : x
  2. Step 2: Convert to fraction form
    118,931.45/164,125.32 = 65,217.38/x
  3. Step 3: Cross multiply
    118,931.45x = 164,125.32 × 65,217.38
  4. Step 4: Simplify right side
    118,931.45x = 10,703,823,362.06
  5. Step 5: Solve for x
    x = 10,703,823,362.06/118,931.45
  6. Step 6: Final answer
    x = 89,999.94

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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.