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Finding the Fourth Proportional to 176,169.84, 264,328.80 and 109,665.60

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Solution

The fourth proportional to 176,169.84, 264,328.80 and 109,665.60 is: 164,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,169.84 : 264,328.80 = 109,665.60 : x
  2. Step 2: Convert to fraction form
    176,169.84/264,328.80 = 109,665.60/x
  3. Step 3: Cross multiply
    176,169.84x = 264,328.80 × 109,665.60
  4. Step 4: Simplify right side
    176,169.84x = 28,987,776,449.28
  5. Step 5: Solve for x
    x = 28,987,776,449.28/176,169.84
  6. Step 6: Final answer
    x = 164,544.49

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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.