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Finding the Fourth Proportional to 117,399.52, 176,022.72 and 77,297.13

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Solution

The fourth proportional to 117,399.52, 176,022.72 and 77,297.13 is: 115,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,399.52 : 176,022.72 = 77,297.13 : x
  2. Step 2: Convert to fraction form
    117,399.52/176,022.72 = 77,297.13/x
  3. Step 3: Cross multiply
    117,399.52x = 176,022.72 × 77,297.13
  4. Step 4: Simplify right side
    117,399.52x = 13,606,051,070.79
  5. Step 5: Solve for x
    x = 13,606,051,070.79/117,399.52
  6. Step 6: Final answer
    x = 115,895.29

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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.