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Finding the Fourth Proportional to 119,047.63, 164,288.44 and 65,336.08

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Solution

The fourth proportional to 119,047.63, 164,288.44 and 65,336.08 is: 90,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,047.63 : 164,288.44 = 65,336.08 : x
  2. Step 2: Convert to fraction form
    119,047.63/164,288.44 = 65,336.08/x
  3. Step 3: Cross multiply
    119,047.63x = 164,288.44 × 65,336.08
  4. Step 4: Simplify right side
    119,047.63x = 10,733,962,658.92
  5. Step 5: Solve for x
    x = 10,733,962,658.92/119,047.63
  6. Step 6: Final answer
    x = 90,165.28

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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.