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Finding the Fourth Proportional to 164,884.81, 247,289.85 and 83,749.59

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Solution

The fourth proportional to 164,884.81, 247,289.85 and 83,749.59 is: 125,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,884.81 : 247,289.85 = 83,749.59 : x
  2. Step 2: Convert to fraction form
    164,884.81/247,289.85 = 83,749.59/x
  3. Step 3: Cross multiply
    164,884.81x = 247,289.85 × 83,749.59
  4. Step 4: Simplify right side
    164,884.81x = 20,710,423,548.66
  5. Step 5: Solve for x
    x = 20,710,423,548.66/164,884.81
  6. Step 6: Final answer
    x = 125,605.41

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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.