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Finding the Fourth Proportional to 139,091.56, 191,946.40 and 75,429.34

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Solution

The fourth proportional to 139,091.56, 191,946.40 and 75,429.34 is: 104,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,091.56 : 191,946.40 = 75,429.34 : x
  2. Step 2: Convert to fraction form
    139,091.56/191,946.40 = 75,429.34/x
  3. Step 3: Cross multiply
    139,091.56x = 191,946.40 × 75,429.34
  4. Step 4: Simplify right side
    139,091.56x = 14,478,390,267.38
  5. Step 5: Solve for x
    x = 14,478,390,267.38/139,091.56
  6. Step 6: Final answer
    x = 104,092.51

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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.