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Finding the Fourth Proportional to 119,984.64, 179,838.72 and 64,464

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Solution

The fourth proportional to 119,984.64, 179,838.72 and 64,464 is: 96,621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,984.64 : 179,838.72 = 64,464 : x
  2. Step 2: Convert to fraction form
    119,984.64/179,838.72 = 64,464/x
  3. Step 3: Cross multiply
    119,984.64x = 179,838.72 × 64,464
  4. Step 4: Simplify right side
    119,984.64x = 11,593,123,246.08
  5. Step 5: Solve for x
    x = 11,593,123,246.08/119,984.64
  6. Step 6: Final answer
    x = 96,621.73

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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.