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Finding the Fourth Proportional to 174,422.40, 261,633.60 and 164,054.40

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Solution

The fourth proportional to 174,422.40, 261,633.60 and 164,054.40 is: 246,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,422.40 : 261,633.60 = 164,054.40 : x
  2. Step 2: Convert to fraction form
    174,422.40/261,633.60 = 164,054.40/x
  3. Step 3: Cross multiply
    174,422.40x = 261,633.60 × 164,054.40
  4. Step 4: Simplify right side
    174,422.40x = 42,922,143,267.84
  5. Step 5: Solve for x
    x = 42,922,143,267.84/174,422.40
  6. Step 6: Final answer
    x = 246,081.60

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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.