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Finding the Fourth Proportional to 137,622.95, 206,434.74 and 37,784.51

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Solution

The fourth proportional to 137,622.95, 206,434.74 and 37,784.51 is: 56,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,622.95 : 206,434.74 = 37,784.51 : x
  2. Step 2: Convert to fraction form
    137,622.95/206,434.74 = 37,784.51/x
  3. Step 3: Cross multiply
    137,622.95x = 206,434.74 × 37,784.51
  4. Step 4: Simplify right side
    137,622.95x = 7,800,034,465.70
  5. Step 5: Solve for x
    x = 7,800,034,465.70/137,622.95
  6. Step 6: Final answer
    x = 56,676.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.