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Finding the Fourth Proportional to 227,232, 340,782.72 and 69,423.36

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Solution

The fourth proportional to 227,232, 340,782.72 and 69,423.36 is: 104,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,232 : 340,782.72 = 69,423.36 : x
  2. Step 2: Convert to fraction form
    227,232/340,782.72 = 69,423.36/x
  3. Step 3: Cross multiply
    227,232x = 340,782.72 × 69,423.36
  4. Step 4: Simplify right side
    227,232x = 23,658,281,452.34
  5. Step 5: Solve for x
    x = 23,658,281,452.34/227,232
  6. Step 6: Final answer
    x = 104,115.10

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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.