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Finding the Fourth Proportional to 191,765.16, 264,610.26 and 116,299.08

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Solution

The fourth proportional to 191,765.16, 264,610.26 and 116,299.08 is: 160,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,765.16 : 264,610.26 = 116,299.08 : x
  2. Step 2: Convert to fraction form
    191,765.16/264,610.26 = 116,299.08/x
  3. Step 3: Cross multiply
    191,765.16x = 264,610.26 × 116,299.08
  4. Step 4: Simplify right side
    191,765.16x = 30,773,929,796.56
  5. Step 5: Solve for x
    x = 30,773,929,796.56/191,765.16
  6. Step 6: Final answer
    x = 160,477.17

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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.