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Finding the Fourth Proportional to 144,424.68, 199,304.42 and 84,007.40

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Solution

The fourth proportional to 144,424.68, 199,304.42 and 84,007.40 is: 115,929.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,424.68 : 199,304.42 = 84,007.40 : x
  2. Step 2: Convert to fraction form
    144,424.68/199,304.42 = 84,007.40/x
  3. Step 3: Cross multiply
    144,424.68x = 199,304.42 × 84,007.40
  4. Step 4: Simplify right side
    144,424.68x = 16,743,046,132.71
  5. Step 5: Solve for x
    x = 16,743,046,132.71/144,424.68
  6. Step 6: Final answer
    x = 115,929.26

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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.