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Finding the Fourth Proportional to 231,884.67, 320,157.31 and 144,802.81

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Solution

The fourth proportional to 231,884.67, 320,157.31 and 144,802.81 is: 199,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,884.67 : 320,157.31 = 144,802.81 : x
  2. Step 2: Convert to fraction form
    231,884.67/320,157.31 = 144,802.81/x
  3. Step 3: Cross multiply
    231,884.67x = 320,157.31 × 144,802.81
  4. Step 4: Simplify right side
    231,884.67x = 46,359,678,130.04
  5. Step 5: Solve for x
    x = 46,359,678,130.04/231,884.67
  6. Step 6: Final answer
    x = 199,925.58

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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.