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Finding the Fourth Proportional to 117,155.30, 161,699.49 and 76,370.38

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Solution

The fourth proportional to 117,155.30, 161,699.49 and 76,370.38 is: 105,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,155.30 : 161,699.49 = 76,370.38 : x
  2. Step 2: Convert to fraction form
    117,155.30/161,699.49 = 76,370.38/x
  3. Step 3: Cross multiply
    117,155.30x = 161,699.49 × 76,370.38
  4. Step 4: Simplify right side
    117,155.30x = 12,349,051,092.86
  5. Step 5: Solve for x
    x = 12,349,051,092.86/117,155.30
  6. Step 6: Final answer
    x = 105,407.54

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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.