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Finding the Fourth Proportional to 97,656.33, 134,524.71 and 83,269.35

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Solution

The fourth proportional to 97,656.33, 134,524.71 and 83,269.35 is: 114,706.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,656.33 : 134,524.71 = 83,269.35 : x
  2. Step 2: Convert to fraction form
    97,656.33/134,524.71 = 83,269.35/x
  3. Step 3: Cross multiply
    97,656.33x = 134,524.71 × 83,269.35
  4. Step 4: Simplify right side
    97,656.33x = 11,201,785,160.64
  5. Step 5: Solve for x
    x = 11,201,785,160.64/97,656.33
  6. Step 6: Final answer
    x = 114,706.19

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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.