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Finding the Fourth Proportional to 119,533.22, 164,955.84 and 65,818.11

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Solution

The fourth proportional to 119,533.22, 164,955.84 and 65,818.11 is: 90,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,533.22 : 164,955.84 = 65,818.11 : x
  2. Step 2: Convert to fraction form
    119,533.22/164,955.84 = 65,818.11/x
  3. Step 3: Cross multiply
    119,533.22x = 164,955.84 × 65,818.11
  4. Step 4: Simplify right side
    119,533.22x = 10,857,081,204.41
  5. Step 5: Solve for x
    x = 10,857,081,204.41/119,533.22
  6. Step 6: Final answer
    x = 90,828.99

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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.