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Finding the Fourth Proportional to 98,063.31, 147,094.97 and 68,538.81

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Solution

The fourth proportional to 98,063.31, 147,094.97 and 68,538.81 is: 102,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,063.31 : 147,094.97 = 68,538.81 : x
  2. Step 2: Convert to fraction form
    98,063.31/147,094.97 = 68,538.81/x
  3. Step 3: Cross multiply
    98,063.31x = 147,094.97 × 68,538.81
  4. Step 4: Simplify right side
    98,063.31x = 10,081,714,795.23
  5. Step 5: Solve for x
    x = 10,081,714,795.23/98,063.31
  6. Step 6: Final answer
    x = 102,808.22

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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.