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Finding the Fourth Proportional to 114,064.34, 171,094.61 and 34,102.49

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Solution

The fourth proportional to 114,064.34, 171,094.61 and 34,102.49 is: 51,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,064.34 : 171,094.61 = 34,102.49 : x
  2. Step 2: Convert to fraction form
    114,064.34/171,094.61 = 34,102.49/x
  3. Step 3: Cross multiply
    114,064.34x = 171,094.61 × 34,102.49
  4. Step 4: Simplify right side
    114,064.34x = 5,834,751,371.11
  5. Step 5: Solve for x
    x = 5,834,751,371.11/114,064.34
  6. Step 6: Final answer
    x = 51,153.16

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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.