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Finding the Fourth Proportional to 149,930.79, 224,933.10 and 105,644.03

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Solution

The fourth proportional to 149,930.79, 224,933.10 and 105,644.03 is: 158,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,930.79 : 224,933.10 = 105,644.03 : x
  2. Step 2: Convert to fraction form
    149,930.79/224,933.10 = 105,644.03/x
  3. Step 3: Cross multiply
    149,930.79x = 224,933.10 × 105,644.03
  4. Step 4: Simplify right side
    149,930.79x = 23,762,838,636.17
  5. Step 5: Solve for x
    x = 23,762,838,636.17/149,930.79
  6. Step 6: Final answer
    x = 158,492.05

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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.