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Finding the Fourth Proportional to 145,022.36, 200,130 and 81,360

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Solution

The fourth proportional to 145,022.36, 200,130 and 81,360 is: 112,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,022.36 : 200,130 = 81,360 : x
  2. Step 2: Convert to fraction form
    145,022.36/200,130 = 81,360/x
  3. Step 3: Cross multiply
    145,022.36x = 200,130 × 81,360
  4. Step 4: Simplify right side
    145,022.36x = 16,282,576,800
  5. Step 5: Solve for x
    x = 16,282,576,800/145,022.36
  6. Step 6: Final answer
    x = 112,276.32

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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.