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Finding the Fourth Proportional to 193,457.63, 266,971.68 and 108,574.70

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Solution

The fourth proportional to 193,457.63, 266,971.68 and 108,574.70 is: 149,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,457.63 : 266,971.68 = 108,574.70 : x
  2. Step 2: Convert to fraction form
    193,457.63/266,971.68 = 108,574.70/x
  3. Step 3: Cross multiply
    193,457.63x = 266,971.68 × 108,574.70
  4. Step 4: Simplify right side
    193,457.63x = 28,986,368,729.64
  5. Step 5: Solve for x
    x = 28,986,368,729.64/193,457.63
  6. Step 6: Final answer
    x = 149,833.16

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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.