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Finding the Fourth Proportional to 133,307.82, 199,921.34 and 70,093.88

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Solution

The fourth proportional to 133,307.82, 199,921.34 and 70,093.88 is: 105,119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,307.82 : 199,921.34 = 70,093.88 : x
  2. Step 2: Convert to fraction form
    133,307.82/199,921.34 = 70,093.88/x
  3. Step 3: Cross multiply
    133,307.82x = 199,921.34 × 70,093.88
  4. Step 4: Simplify right side
    133,307.82x = 14,013,262,415.40
  5. Step 5: Solve for x
    x = 14,013,262,415.40/133,307.82
  6. Step 6: Final answer
    x = 105,119.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.