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Finding the Fourth Proportional to 114,618.51, 171,704.10 and 75,055.68

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Solution

The fourth proportional to 114,618.51, 171,704.10 and 75,055.68 is: 112,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,618.51 : 171,704.10 = 75,055.68 : x
  2. Step 2: Convert to fraction form
    114,618.51/171,704.10 = 75,055.68/x
  3. Step 3: Cross multiply
    114,618.51x = 171,704.10 × 75,055.68
  4. Step 4: Simplify right side
    114,618.51x = 12,887,367,541.37
  5. Step 5: Solve for x
    x = 12,887,367,541.37/114,618.51
  6. Step 6: Final answer
    x = 112,437.06

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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.