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Finding the Fourth Proportional to 133,093.58, 183,666.74 and 75,731.67

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Solution

The fourth proportional to 133,093.58, 183,666.74 and 75,731.67 is: 104,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,093.58 : 183,666.74 = 75,731.67 : x
  2. Step 2: Convert to fraction form
    133,093.58/183,666.74 = 75,731.67/x
  3. Step 3: Cross multiply
    133,093.58x = 183,666.74 × 75,731.67
  4. Step 4: Simplify right side
    133,093.58x = 13,909,388,565.00
  5. Step 5: Solve for x
    x = 13,909,388,565.00/133,093.58
  6. Step 6: Final answer
    x = 104,508.34

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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.