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Finding the Fourth Proportional to 98,210.17, 147,379.82 and 53,868

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Solution

The fourth proportional to 98,210.17, 147,379.82 and 53,868 is: 80,837.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,210.17 : 147,379.82 = 53,868 : x
  2. Step 2: Convert to fraction form
    98,210.17/147,379.82 = 53,868/x
  3. Step 3: Cross multiply
    98,210.17x = 147,379.82 × 53,868
  4. Step 4: Simplify right side
    98,210.17x = 7,939,056,143.76
  5. Step 5: Solve for x
    x = 7,939,056,143.76/98,210.17
  6. Step 6: Final answer
    x = 80,837.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.