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Finding the Fourth Proportional to 82,802.20, 114,266.34 and 45,076.36

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Solution

The fourth proportional to 82,802.20, 114,266.34 and 45,076.36 is: 62,205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,802.20 : 114,266.34 = 45,076.36 : x
  2. Step 2: Convert to fraction form
    82,802.20/114,266.34 = 45,076.36/x
  3. Step 3: Cross multiply
    82,802.20x = 114,266.34 × 45,076.36
  4. Step 4: Simplify right side
    82,802.20x = 5,150,710,677.72
  5. Step 5: Solve for x
    x = 5,150,710,677.72/82,802.20
  6. Step 6: Final answer
    x = 62,205.00

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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.