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Finding the Fourth Proportional to 145,077.80, 200,216.24 and 81,415.60

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Solution

The fourth proportional to 145,077.80, 200,216.24 and 81,415.60 is: 112,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,077.80 : 200,216.24 = 81,415.60 : x
  2. Step 2: Convert to fraction form
    145,077.80/200,216.24 = 81,415.60/x
  3. Step 3: Cross multiply
    145,077.80x = 200,216.24 × 81,415.60
  4. Step 4: Simplify right side
    145,077.80x = 16,300,725,012.34
  5. Step 5: Solve for x
    x = 16,300,725,012.34/145,077.80
  6. Step 6: Final answer
    x = 112,358.51

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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.