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Finding the Fourth Proportional to 98,257, 135,595.62 and 53,545.96

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Solution

The fourth proportional to 98,257, 135,595.62 and 53,545.96 is: 73,893.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,257 : 135,595.62 = 53,545.96 : x
  2. Step 2: Convert to fraction form
    98,257/135,595.62 = 53,545.96/x
  3. Step 3: Cross multiply
    98,257x = 135,595.62 × 53,545.96
  4. Step 4: Simplify right side
    98,257x = 7,260,597,644.70
  5. Step 5: Solve for x
    x = 7,260,597,644.70/98,257
  6. Step 6: Final answer
    x = 73,893.95

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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.