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Finding the Fourth Proportional to 106,940.90, 160,216.95 and 87,112.10

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Solution

The fourth proportional to 106,940.90, 160,216.95 and 87,112.10 is: 130,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,940.90 : 160,216.95 = 87,112.10 : x
  2. Step 2: Convert to fraction form
    106,940.90/160,216.95 = 87,112.10/x
  3. Step 3: Cross multiply
    106,940.90x = 160,216.95 × 87,112.10
  4. Step 4: Simplify right side
    106,940.90x = 13,956,834,970.10
  5. Step 5: Solve for x
    x = 13,956,834,970.10/106,940.90
  6. Step 6: Final answer
    x = 130,509.80

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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.