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Finding the Fourth Proportional to 121,163.10, 181,781.10 and 65,030.10

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Solution

The fourth proportional to 121,163.10, 181,781.10 and 65,030.10 is: 97,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,163.10 : 181,781.10 = 65,030.10 : x
  2. Step 2: Convert to fraction form
    121,163.10/181,781.10 = 65,030.10/x
  3. Step 3: Cross multiply
    121,163.10x = 181,781.10 × 65,030.10
  4. Step 4: Simplify right side
    121,163.10x = 11,821,243,111.11
  5. Step 5: Solve for x
    x = 11,821,243,111.11/121,163.10
  6. Step 6: Final answer
    x = 97,564.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.