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Finding the Fourth Proportional to 98,214.64, 147,386.49 and 53,872.54

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Solution

The fourth proportional to 98,214.64, 147,386.49 and 53,872.54 is: 80,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,214.64 : 147,386.49 = 53,872.54 : x
  2. Step 2: Convert to fraction form
    98,214.64/147,386.49 = 53,872.54/x
  3. Step 3: Cross multiply
    98,214.64x = 147,386.49 × 53,872.54
  4. Step 4: Simplify right side
    98,214.64x = 7,940,084,577.98
  5. Step 5: Solve for x
    x = 7,940,084,577.98/98,214.64
  6. Step 6: Final answer
    x = 80,844.21

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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.