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Finding the Fourth Proportional to 216,830.40, 325,245.60 and 142,180.80

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Solution

The fourth proportional to 216,830.40, 325,245.60 and 142,180.80 is: 213,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,830.40 : 325,245.60 = 142,180.80 : x
  2. Step 2: Convert to fraction form
    216,830.40/325,245.60 = 142,180.80/x
  3. Step 3: Cross multiply
    216,830.40x = 325,245.60 × 142,180.80
  4. Step 4: Simplify right side
    216,830.40x = 46,243,679,604.48
  5. Step 5: Solve for x
    x = 46,243,679,604.48/216,830.40
  6. Step 6: Final answer
    x = 213,271.20

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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.