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Finding the Fourth Proportional to 137,700, 190,026 and 78,084

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Solution

The fourth proportional to 137,700, 190,026 and 78,084 is: 107,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,700 : 190,026 = 78,084 : x
  2. Step 2: Convert to fraction form
    137,700/190,026 = 78,084/x
  3. Step 3: Cross multiply
    137,700x = 190,026 × 78,084
  4. Step 4: Simplify right side
    137,700x = 14,837,990,184
  5. Step 5: Solve for x
    x = 14,837,990,184/137,700
  6. Step 6: Final answer
    x = 107,755.92

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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.