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Finding the Fourth Proportional to 223,094.36, 334,647.68 and 65,322.83

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Solution

The fourth proportional to 223,094.36, 334,647.68 and 65,322.83 is: 97,986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,094.36 : 334,647.68 = 65,322.83 : x
  2. Step 2: Convert to fraction form
    223,094.36/334,647.68 = 65,322.83/x
  3. Step 3: Cross multiply
    223,094.36x = 334,647.68 × 65,322.83
  4. Step 4: Simplify right side
    223,094.36x = 21,860,131,510.68
  5. Step 5: Solve for x
    x = 21,860,131,510.68/223,094.36
  6. Step 6: Final answer
    x = 97,986.04

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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.