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Finding the Fourth Proportional to 114,234, 171,147.48 and 97,423.48

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Solution

The fourth proportional to 114,234, 171,147.48 and 97,423.48 is: 145,961.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,234 : 171,147.48 = 97,423.48 : x
  2. Step 2: Convert to fraction form
    114,234/171,147.48 = 97,423.48/x
  3. Step 3: Cross multiply
    114,234x = 171,147.48 × 97,423.48
  4. Step 4: Simplify right side
    114,234x = 16,673,783,094.83
  5. Step 5: Solve for x
    x = 16,673,783,094.83/114,234
  6. Step 6: Final answer
    x = 145,961.65

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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.