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Finding the Fourth Proportional to 106,762.86, 147,347.37 and 61,439.85

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Solution

The fourth proportional to 106,762.86, 147,347.37 and 61,439.85 is: 84,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,762.86 : 147,347.37 = 61,439.85 : x
  2. Step 2: Convert to fraction form
    106,762.86/147,347.37 = 61,439.85/x
  3. Step 3: Cross multiply
    106,762.86x = 147,347.37 × 61,439.85
  4. Step 4: Simplify right side
    106,762.86x = 9,053,000,310.69
  5. Step 5: Solve for x
    x = 9,053,000,310.69/106,762.86
  6. Step 6: Final answer
    x = 84,795.41

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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.