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Finding the Fourth Proportional to 179,790, 269,682.80 and 46,658.40

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Solution

The fourth proportional to 179,790, 269,682.80 and 46,658.40 is: 69,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,790 : 269,682.80 = 46,658.40 : x
  2. Step 2: Convert to fraction form
    179,790/269,682.80 = 46,658.40/x
  3. Step 3: Cross multiply
    179,790x = 269,682.80 × 46,658.40
  4. Step 4: Simplify right side
    179,790x = 12,582,967,955.52
  5. Step 5: Solve for x
    x = 12,582,967,955.52/179,790
  6. Step 6: Final answer
    x = 69,987.03

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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.