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Finding the Fourth Proportional to 171,853.65, 257,816.93 and 51,914.93

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Solution

The fourth proportional to 171,853.65, 257,816.93 and 51,914.93 is: 77,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,853.65 : 257,816.93 = 51,914.93 : x
  2. Step 2: Convert to fraction form
    171,853.65/257,816.93 = 51,914.93/x
  3. Step 3: Cross multiply
    171,853.65x = 257,816.93 × 51,914.93
  4. Step 4: Simplify right side
    171,853.65x = 13,384,546,325.11
  5. Step 5: Solve for x
    x = 13,384,546,325.11/171,853.65
  6. Step 6: Final answer
    x = 77,883.40

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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.