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Finding the Fourth Proportional to 119,048.63, 164,281.92 and 65,334.56

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Solution

The fourth proportional to 119,048.63, 164,281.92 and 65,334.56 is: 90,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,048.63 : 164,281.92 = 65,334.56 : x
  2. Step 2: Convert to fraction form
    119,048.63/164,281.92 = 65,334.56/x
  3. Step 3: Cross multiply
    119,048.63x = 164,281.92 × 65,334.56
  4. Step 4: Simplify right side
    119,048.63x = 10,733,286,137.75
  5. Step 5: Solve for x
    x = 10,733,286,137.75/119,048.63
  6. Step 6: Final answer
    x = 90,158.84

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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.