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Finding the Fourth Proportional to 167,111.24, 230,665.14 and 107,495.24

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Solution

The fourth proportional to 167,111.24, 230,665.14 and 107,495.24 is: 148,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,111.24 : 230,665.14 = 107,495.24 : x
  2. Step 2: Convert to fraction form
    167,111.24/230,665.14 = 107,495.24/x
  3. Step 3: Cross multiply
    167,111.24x = 230,665.14 × 107,495.24
  4. Step 4: Simplify right side
    167,111.24x = 24,795,404,583.93
  5. Step 5: Solve for x
    x = 24,795,404,583.93/167,111.24
  6. Step 6: Final answer
    x = 148,376.64

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1.5x scale

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.