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Finding the Fourth Proportional to 114,553.70, 171,830.55 and 61,409.60

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Solution

The fourth proportional to 114,553.70, 171,830.55 and 61,409.60 is: 92,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,553.70 : 171,830.55 = 61,409.60 : x
  2. Step 2: Convert to fraction form
    114,553.70/171,830.55 = 61,409.60/x
  3. Step 3: Cross multiply
    114,553.70x = 171,830.55 × 61,409.60
  4. Step 4: Simplify right side
    114,553.70x = 10,552,045,343.28
  5. Step 5: Solve for x
    x = 10,552,045,343.28/114,553.70
  6. Step 6: Final answer
    x = 92,114.40

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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.