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Finding the Fourth Proportional to 139,097.94, 191,953.26 and 75,434.46

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Solution

The fourth proportional to 139,097.94, 191,953.26 and 75,434.46 is: 104,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,097.94 : 191,953.26 = 75,434.46 : x
  2. Step 2: Convert to fraction form
    139,097.94/191,953.26 = 75,434.46/x
  3. Step 3: Cross multiply
    139,097.94x = 191,953.26 × 75,434.46
  4. Step 4: Simplify right side
    139,097.94x = 14,479,890,513.34
  5. Step 5: Solve for x
    x = 14,479,890,513.34/139,097.94
  6. Step 6: Final answer
    x = 104,098.53

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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.