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Finding the Fourth Proportional to 110,509.47, 152,521.37 and 65,198.54

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Solution

The fourth proportional to 110,509.47, 152,521.37 and 65,198.54 is: 89,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,509.47 : 152,521.37 = 65,198.54 : x
  2. Step 2: Convert to fraction form
    110,509.47/152,521.37 = 65,198.54/x
  3. Step 3: Cross multiply
    110,509.47x = 152,521.37 × 65,198.54
  4. Step 4: Simplify right side
    110,509.47x = 9,944,169,554.20
  5. Step 5: Solve for x
    x = 9,944,169,554.20/110,509.47
  6. Step 6: Final answer
    x = 89,984.77

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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.