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Finding the Fourth Proportional to 145,893.30, 201,498.83 and 98,063.61

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Solution

The fourth proportional to 145,893.30, 201,498.83 and 98,063.61 is: 135,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,893.30 : 201,498.83 = 98,063.61 : x
  2. Step 2: Convert to fraction form
    145,893.30/201,498.83 = 98,063.61/x
  3. Step 3: Cross multiply
    145,893.30x = 201,498.83 × 98,063.61
  4. Step 4: Simplify right side
    145,893.30x = 19,759,702,680.58
  5. Step 5: Solve for x
    x = 19,759,702,680.58/145,893.30
  6. Step 6: Final answer
    x = 135,439.41

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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.