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Finding the Fourth Proportional to 167,053.68, 230,499.18 and 106,585.80

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Solution

The fourth proportional to 167,053.68, 230,499.18 and 106,585.80 is: 147,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,053.68 : 230,499.18 = 106,585.80 : x
  2. Step 2: Convert to fraction form
    167,053.68/230,499.18 = 106,585.80/x
  3. Step 3: Cross multiply
    167,053.68x = 230,499.18 × 106,585.80
  4. Step 4: Simplify right side
    167,053.68x = 24,567,939,499.64
  5. Step 5: Solve for x
    x = 24,567,939,499.64/167,053.68
  6. Step 6: Final answer
    x = 147,066.14

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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.