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Finding the Fourth Proportional to 150,956.74, 208,100.74 and 105,493.58

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Solution

The fourth proportional to 150,956.74, 208,100.74 and 105,493.58 is: 145,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,956.74 : 208,100.74 = 105,493.58 : x
  2. Step 2: Convert to fraction form
    150,956.74/208,100.74 = 105,493.58/x
  3. Step 3: Cross multiply
    150,956.74x = 208,100.74 × 105,493.58
  4. Step 4: Simplify right side
    150,956.74x = 21,953,292,063.25
  5. Step 5: Solve for x
    x = 21,953,292,063.25/150,956.74
  6. Step 6: Final answer
    x = 145,427.70

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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.