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Finding the Fourth Proportional to 151,299, 208,722.56 and 97,601.33

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Solution

The fourth proportional to 151,299, 208,722.56 and 97,601.33 is: 134,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,299 : 208,722.56 = 97,601.33 : x
  2. Step 2: Convert to fraction form
    151,299/208,722.56 = 97,601.33/x
  3. Step 3: Cross multiply
    151,299x = 208,722.56 × 97,601.33
  4. Step 4: Simplify right side
    151,299x = 20,371,599,490.80
  5. Step 5: Solve for x
    x = 20,371,599,490.80/151,299
  6. Step 6: Final answer
    x = 134,644.64

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1.5x scale

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.