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Finding the Fourth Proportional to 174,626.60, 261,978.30 and 56,277.80

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Solution

The fourth proportional to 174,626.60, 261,978.30 and 56,277.80 is: 84,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,626.60 : 261,978.30 = 56,277.80 : x
  2. Step 2: Convert to fraction form
    174,626.60/261,978.30 = 56,277.80/x
  3. Step 3: Cross multiply
    174,626.60x = 261,978.30 × 56,277.80
  4. Step 4: Simplify right side
    174,626.60x = 14,743,562,371.74
  5. Step 5: Solve for x
    x = 14,743,562,371.74/174,626.60
  6. Step 6: Final answer
    x = 84,429.08

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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.