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Finding the Fourth Proportional to 232,434.27, 320,761.67 and 130,457.69

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Solution

The fourth proportional to 232,434.27, 320,761.67 and 130,457.69 is: 180,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,434.27 : 320,761.67 = 130,457.69 : x
  2. Step 2: Convert to fraction form
    232,434.27/320,761.67 = 130,457.69/x
  3. Step 3: Cross multiply
    232,434.27x = 320,761.67 × 130,457.69
  4. Step 4: Simplify right side
    232,434.27x = 41,845,824,741.86
  5. Step 5: Solve for x
    x = 41,845,824,741.86/232,434.27
  6. Step 6: Final answer
    x = 180,032.94

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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.