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Finding the Fourth Proportional to 110,914.61, 166,300.84 and 46,855.36

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Solution

The fourth proportional to 110,914.61, 166,300.84 and 46,855.36 is: 70,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,914.61 : 166,300.84 = 46,855.36 : x
  2. Step 2: Convert to fraction form
    110,914.61/166,300.84 = 46,855.36/x
  3. Step 3: Cross multiply
    110,914.61x = 166,300.84 × 46,855.36
  4. Step 4: Simplify right side
    110,914.61x = 7,792,085,726.50
  5. Step 5: Solve for x
    x = 7,792,085,726.50/110,914.61
  6. Step 6: Final answer
    x = 70,253.01

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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.