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Finding the Fourth Proportional to 227,762.80, 341,636.10 and 103,103.80

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Solution

The fourth proportional to 227,762.80, 341,636.10 and 103,103.80 is: 154,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,762.80 : 341,636.10 = 103,103.80 : x
  2. Step 2: Convert to fraction form
    227,762.80/341,636.10 = 103,103.80/x
  3. Step 3: Cross multiply
    227,762.80x = 341,636.10 × 103,103.80
  4. Step 4: Simplify right side
    227,762.80x = 35,223,980,127.18
  5. Step 5: Solve for x
    x = 35,223,980,127.18/227,762.80
  6. Step 6: Final answer
    x = 154,652.03

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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.