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Finding the Fourth Proportional to 114,700.65, 171,967.10 and 77,167.41

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Solution

The fourth proportional to 114,700.65, 171,967.10 and 77,167.41 is: 115,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,700.65 : 171,967.10 = 77,167.41 : x
  2. Step 2: Convert to fraction form
    114,700.65/171,967.10 = 77,167.41/x
  3. Step 3: Cross multiply
    114,700.65x = 171,967.10 × 77,167.41
  4. Step 4: Simplify right side
    114,700.65x = 13,270,255,326.37
  5. Step 5: Solve for x
    x = 13,270,255,326.37/114,700.65
  6. Step 6: Final answer
    x = 115,694.68

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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.