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Finding the Fourth Proportional to 82,814.90, 114,355.59 and 80,136.93

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Solution

The fourth proportional to 82,814.90, 114,355.59 and 80,136.93 is: 110,657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,814.90 : 114,355.59 = 80,136.93 : x
  2. Step 2: Convert to fraction form
    82,814.90/114,355.59 = 80,136.93/x
  3. Step 3: Cross multiply
    82,814.90x = 114,355.59 × 80,136.93
  4. Step 4: Simplify right side
    82,814.90x = 9,164,106,216.52
  5. Step 5: Solve for x
    x = 9,164,106,216.52/82,814.90
  6. Step 6: Final answer
    x = 110,657.70

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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.