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Finding the Fourth Proportional to 114,642.49, 171,847.08 and 106,156.93

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Solution

The fourth proportional to 114,642.49, 171,847.08 and 106,156.93 is: 159,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,642.49 : 171,847.08 = 106,156.93 : x
  2. Step 2: Convert to fraction form
    114,642.49/171,847.08 = 106,156.93/x
  3. Step 3: Cross multiply
    114,642.49x = 171,847.08 × 106,156.93
  4. Step 4: Simplify right side
    114,642.49x = 18,242,758,442.26
  5. Step 5: Solve for x
    x = 18,242,758,442.26/114,642.49
  6. Step 6: Final answer
    x = 159,127.37

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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.