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Finding the Fourth Proportional to 114,175.79, 171,280.08 and 35,296.16

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Solution

The fourth proportional to 114,175.79, 171,280.08 and 35,296.16 is: 52,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,175.79 : 171,280.08 = 35,296.16 : x
  2. Step 2: Convert to fraction form
    114,175.79/171,280.08 = 35,296.16/x
  3. Step 3: Cross multiply
    114,175.79x = 171,280.08 × 35,296.16
  4. Step 4: Simplify right side
    114,175.79x = 6,045,528,932.01
  5. Step 5: Solve for x
    x = 6,045,528,932.01/114,175.79
  6. Step 6: Final answer
    x = 52,949.31

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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.