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Finding the Fourth Proportional to 140,491.95, 193,880.42 and 76,828.38

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Solution

The fourth proportional to 140,491.95, 193,880.42 and 76,828.38 is: 106,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,491.95 : 193,880.42 = 76,828.38 : x
  2. Step 2: Convert to fraction form
    140,491.95/193,880.42 = 76,828.38/x
  3. Step 3: Cross multiply
    140,491.95x = 193,880.42 × 76,828.38
  4. Step 4: Simplify right side
    140,491.95x = 14,895,518,582.32
  5. Step 5: Solve for x
    x = 14,895,518,582.32/140,491.95
  6. Step 6: Final answer
    x = 106,024.00

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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.