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Finding the Fourth Proportional to 159,107.49, 219,576.22 and 98,697.60

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Solution

The fourth proportional to 159,107.49, 219,576.22 and 98,697.60 is: 136,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,107.49 : 219,576.22 = 98,697.60 : x
  2. Step 2: Convert to fraction form
    159,107.49/219,576.22 = 98,697.60/x
  3. Step 3: Cross multiply
    159,107.49x = 219,576.22 × 98,697.60
  4. Step 4: Simplify right side
    159,107.49x = 21,671,645,931.07
  5. Step 5: Solve for x
    x = 21,671,645,931.07/159,107.49
  6. Step 6: Final answer
    x = 136,207.58

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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.