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Finding the Fourth Proportional to 119,047.20, 164,289.11 and 65,335.17

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Solution

The fourth proportional to 119,047.20, 164,289.11 and 65,335.17 is: 90,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,047.20 : 164,289.11 = 65,335.17 : x
  2. Step 2: Convert to fraction form
    119,047.20/164,289.11 = 65,335.17/x
  3. Step 3: Cross multiply
    119,047.20x = 164,289.11 × 65,335.17
  4. Step 4: Simplify right side
    119,047.20x = 10,733,856,931.00
  5. Step 5: Solve for x
    x = 10,733,856,931.00/119,047.20
  6. Step 6: Final answer
    x = 90,164.72

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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.