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Finding the Fourth Proportional to 148,775.44, 223,143.72 and 65,650

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Solution

The fourth proportional to 148,775.44, 223,143.72 and 65,650 is: 98,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,775.44 : 223,143.72 = 65,650 : x
  2. Step 2: Convert to fraction form
    148,775.44/223,143.72 = 65,650/x
  3. Step 3: Cross multiply
    148,775.44x = 223,143.72 × 65,650
  4. Step 4: Simplify right side
    148,775.44x = 14,649,385,218
  5. Step 5: Solve for x
    x = 14,649,385,218/148,775.44
  6. Step 6: Final answer
    x = 98,466.42

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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.