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Finding the Fourth Proportional to 223,242.45, 334,866.44 and 65,474.16

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Solution

The fourth proportional to 223,242.45, 334,866.44 and 65,474.16 is: 98,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,242.45 : 334,866.44 = 65,474.16 : x
  2. Step 2: Convert to fraction form
    223,242.45/334,866.44 = 65,474.16/x
  3. Step 3: Cross multiply
    223,242.45x = 334,866.44 × 65,474.16
  4. Step 4: Simplify right side
    223,242.45x = 21,925,098,871.19
  5. Step 5: Solve for x
    x = 21,925,098,871.19/223,242.45
  6. Step 6: Final answer
    x = 98,212.05

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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.