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Finding the Fourth Proportional to 149,787.09, 224,750.10 and 65,536.15

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Solution

The fourth proportional to 149,787.09, 224,750.10 and 65,536.15 is: 98,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,787.09 : 224,750.10 = 65,536.15 : x
  2. Step 2: Convert to fraction form
    149,787.09/224,750.10 = 65,536.15/x
  3. Step 3: Cross multiply
    149,787.09x = 224,750.10 × 65,536.15
  4. Step 4: Simplify right side
    149,787.09x = 14,729,256,266.12
  5. Step 5: Solve for x
    x = 14,729,256,266.12/149,787.09
  6. Step 6: Final answer
    x = 98,334.62

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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.