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Finding the Fourth Proportional to 97,258.70, 134,255.66 and 83,592.65

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Solution

The fourth proportional to 97,258.70, 134,255.66 and 83,592.65 is: 115,391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,258.70 : 134,255.66 = 83,592.65 : x
  2. Step 2: Convert to fraction form
    97,258.70/134,255.66 = 83,592.65/x
  3. Step 3: Cross multiply
    97,258.70x = 134,255.66 × 83,592.65
  4. Step 4: Simplify right side
    97,258.70x = 11,222,785,307.66
  5. Step 5: Solve for x
    x = 11,222,785,307.66/97,258.70
  6. Step 6: Final answer
    x = 115,391.07

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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.