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Finding the Fourth Proportional to 104,775.16, 144,661.92 and 98,083

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Solution

The fourth proportional to 104,775.16, 144,661.92 and 98,083 is: 135,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,775.16 : 144,661.92 = 98,083 : x
  2. Step 2: Convert to fraction form
    104,775.16/144,661.92 = 98,083/x
  3. Step 3: Cross multiply
    104,775.16x = 144,661.92 × 98,083
  4. Step 4: Simplify right side
    104,775.16x = 14,188,875,099.36
  5. Step 5: Solve for x
    x = 14,188,875,099.36/104,775.16
  6. Step 6: Final answer
    x = 135,422.13

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Why These Related Problems?

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