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Finding the Fourth Proportional to 114,578.92, 171,846.10 and 57,637.64

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Solution

The fourth proportional to 114,578.92, 171,846.10 and 57,637.64 is: 86,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,578.92 : 171,846.10 = 57,637.64 : x
  2. Step 2: Convert to fraction form
    114,578.92/171,846.10 = 57,637.64/x
  3. Step 3: Cross multiply
    114,578.92x = 171,846.10 × 57,637.64
  4. Step 4: Simplify right side
    114,578.92x = 9,904,803,647.20
  5. Step 5: Solve for x
    x = 9,904,803,647.20/114,578.92
  6. Step 6: Final answer
    x = 86,445.25

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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.