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Finding the Fourth Proportional to 211,556.30, 291,955.26 and 116,065.76

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Solution

The fourth proportional to 211,556.30, 291,955.26 and 116,065.76 is: 160,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,556.30 : 291,955.26 = 116,065.76 : x
  2. Step 2: Convert to fraction form
    211,556.30/291,955.26 = 116,065.76/x
  3. Step 3: Cross multiply
    211,556.30x = 291,955.26 × 116,065.76
  4. Step 4: Simplify right side
    211,556.30x = 33,886,009,137.90
  5. Step 5: Solve for x
    x = 33,886,009,137.90/211,556.30
  6. Step 6: Final answer
    x = 160,174.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.