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Finding the Fourth Proportional to 227,989.40, 341,984.10 and 144,008.60

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Solution

The fourth proportional to 227,989.40, 341,984.10 and 144,008.60 is: 216,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,989.40 : 341,984.10 = 144,008.60 : x
  2. Step 2: Convert to fraction form
    227,989.40/341,984.10 = 144,008.60/x
  3. Step 3: Cross multiply
    227,989.40x = 341,984.10 × 144,008.60
  4. Step 4: Simplify right side
    227,989.40x = 49,248,651,463.26
  5. Step 5: Solve for x
    x = 49,248,651,463.26/227,989.40
  6. Step 6: Final answer
    x = 216,012.90

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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.