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Finding the Fourth Proportional to 137,830.39, 190,226.51 and 84,146.53

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Solution

The fourth proportional to 137,830.39, 190,226.51 and 84,146.53 is: 116,134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,830.39 : 190,226.51 = 84,146.53 : x
  2. Step 2: Convert to fraction form
    137,830.39/190,226.51 = 84,146.53/x
  3. Step 3: Cross multiply
    137,830.39x = 190,226.51 × 84,146.53
  4. Step 4: Simplify right side
    137,830.39x = 16,006,899,358.65
  5. Step 5: Solve for x
    x = 16,006,899,358.65/137,830.39
  6. Step 6: Final answer
    x = 116,134.76

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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.