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Finding the Fourth Proportional to 97,862.94, 146,789.64 and 57,358.98

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Solution

The fourth proportional to 97,862.94, 146,789.64 and 57,358.98 is: 86,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,862.94 : 146,789.64 = 57,358.98 : x
  2. Step 2: Convert to fraction form
    97,862.94/146,789.64 = 57,358.98/x
  3. Step 3: Cross multiply
    97,862.94x = 146,789.64 × 57,358.98
  4. Step 4: Simplify right side
    97,862.94x = 8,419,704,024.97
  5. Step 5: Solve for x
    x = 8,419,704,024.97/97,862.94
  6. Step 6: Final answer
    x = 86,035.67

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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.