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Finding the Fourth Proportional to 174,533.76, 261,722.88 and 63,648

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Solution

The fourth proportional to 174,533.76, 261,722.88 and 63,648 is: 95,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,533.76 : 261,722.88 = 63,648 : x
  2. Step 2: Convert to fraction form
    174,533.76/261,722.88 = 63,648/x
  3. Step 3: Cross multiply
    174,533.76x = 261,722.88 × 63,648
  4. Step 4: Simplify right side
    174,533.76x = 16,658,137,866.24
  5. Step 5: Solve for x
    x = 16,658,137,866.24/174,533.76
  6. Step 6: Final answer
    x = 95,443.64

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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.