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Finding the Fourth Proportional to 117,054.24, 161,531.16 and 69,307.98

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Solution

The fourth proportional to 117,054.24, 161,531.16 and 69,307.98 is: 95,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,054.24 : 161,531.16 = 69,307.98 : x
  2. Step 2: Convert to fraction form
    117,054.24/161,531.16 = 69,307.98/x
  3. Step 3: Cross multiply
    117,054.24x = 161,531.16 × 69,307.98
  4. Step 4: Simplify right side
    117,054.24x = 11,195,398,406.66
  5. Step 5: Solve for x
    x = 11,195,398,406.66/117,054.24
  6. Step 6: Final answer
    x = 95,642.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.