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Finding the Fourth Proportional to 149,850.30, 224,775.45 and 142,938.30

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Solution

The fourth proportional to 149,850.30, 224,775.45 and 142,938.30 is: 214,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,850.30 : 224,775.45 = 142,938.30 : x
  2. Step 2: Convert to fraction form
    149,850.30/224,775.45 = 142,938.30/x
  3. Step 3: Cross multiply
    149,850.30x = 224,775.45 × 142,938.30
  4. Step 4: Simplify right side
    149,850.30x = 32,129,020,704.74
  5. Step 5: Solve for x
    x = 32,129,020,704.74/149,850.30
  6. Step 6: Final answer
    x = 214,407.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.