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Finding the Fourth Proportional to 193,253.08, 289,913.10 and 65,157.16

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Solution

The fourth proportional to 193,253.08, 289,913.10 and 65,157.16 is: 97,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,253.08 : 289,913.10 = 65,157.16 : x
  2. Step 2: Convert to fraction form
    193,253.08/289,913.10 = 65,157.16/x
  3. Step 3: Cross multiply
    193,253.08x = 289,913.10 × 65,157.16
  4. Step 4: Simplify right side
    193,253.08x = 18,889,914,242.80
  5. Step 5: Solve for x
    x = 18,889,914,242.80/193,253.08
  6. Step 6: Final answer
    x = 97,747.03

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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.