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Finding the Fourth Proportional to 104,903.14, 144,785.06 and 61,880

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Solution

The fourth proportional to 104,903.14, 144,785.06 and 61,880 is: 85,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,903.14 : 144,785.06 = 61,880 : x
  2. Step 2: Convert to fraction form
    104,903.14/144,785.06 = 61,880/x
  3. Step 3: Cross multiply
    104,903.14x = 144,785.06 × 61,880
  4. Step 4: Simplify right side
    104,903.14x = 8,959,299,512.80
  5. Step 5: Solve for x
    x = 8,959,299,512.80/104,903.14
  6. Step 6: Final answer
    x = 85,405.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.