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Finding the Fourth Proportional to 132,285.82, 182,484.45 and 83,802.22

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Solution

The fourth proportional to 132,285.82, 182,484.45 and 83,802.22 is: 115,602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,285.82 : 182,484.45 = 83,802.22 : x
  2. Step 2: Convert to fraction form
    132,285.82/182,484.45 = 83,802.22/x
  3. Step 3: Cross multiply
    132,285.82x = 182,484.45 × 83,802.22
  4. Step 4: Simplify right side
    132,285.82x = 15,292,602,025.48
  5. Step 5: Solve for x
    x = 15,292,602,025.48/132,285.82
  6. Step 6: Final answer
    x = 115,602.73

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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.