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Finding the Fourth Proportional to 137,810.69, 190,199.37 and 84,126.81

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Solution

The fourth proportional to 137,810.69, 190,199.37 and 84,126.81 is: 116,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,810.69 : 190,199.37 = 84,126.81 : x
  2. Step 2: Convert to fraction form
    137,810.69/190,199.37 = 84,126.81/x
  3. Step 3: Cross multiply
    137,810.69x = 190,199.37 × 84,126.81
  4. Step 4: Simplify right side
    137,810.69x = 16,000,866,262.11
  5. Step 5: Solve for x
    x = 16,000,866,262.11/137,810.69
  6. Step 6: Final answer
    x = 116,107.58

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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.