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Finding the Fourth Proportional to 193,023.38, 266,410.14 and 116,555.06

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Solution

The fourth proportional to 193,023.38, 266,410.14 and 116,555.06 is: 160,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,023.38 : 266,410.14 = 116,555.06 : x
  2. Step 2: Convert to fraction form
    193,023.38/266,410.14 = 116,555.06/x
  3. Step 3: Cross multiply
    193,023.38x = 266,410.14 × 116,555.06
  4. Step 4: Simplify right side
    193,023.38x = 31,051,449,852.31
  5. Step 5: Solve for x
    x = 31,051,449,852.31/193,023.38
  6. Step 6: Final answer
    x = 160,868.85

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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.