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Finding the Fourth Proportional to 161,776.33, 223,268.03 and 97,266.67

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Solution

The fourth proportional to 161,776.33, 223,268.03 and 97,266.67 is: 134,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,776.33 : 223,268.03 = 97,266.67 : x
  2. Step 2: Convert to fraction form
    161,776.33/223,268.03 = 97,266.67/x
  3. Step 3: Cross multiply
    161,776.33x = 223,268.03 × 97,266.67
  4. Step 4: Simplify right side
    161,776.33x = 21,716,537,795.56
  5. Step 5: Solve for x
    x = 21,716,537,795.56/161,776.33
  6. Step 6: Final answer
    x = 134,238.04

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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.