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Finding the Fourth Proportional to 314,811.20, 472,216.80 and 93,195.20

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Solution

The fourth proportional to 314,811.20, 472,216.80 and 93,195.20 is: 139,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,811.20 : 472,216.80 = 93,195.20 : x
  2. Step 2: Convert to fraction form
    314,811.20/472,216.80 = 93,195.20/x
  3. Step 3: Cross multiply
    314,811.20x = 472,216.80 × 93,195.20
  4. Step 4: Simplify right side
    314,811.20x = 44,008,339,119.36
  5. Step 5: Solve for x
    x = 44,008,339,119.36/314,811.20
  6. Step 6: Final answer
    x = 139,792.80

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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.