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Finding the Fourth Proportional to 102,081.56, 140,875.44 and 61,802.60

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Solution

The fourth proportional to 102,081.56, 140,875.44 and 61,802.60 is: 85,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,081.56 : 140,875.44 = 61,802.60 : x
  2. Step 2: Convert to fraction form
    102,081.56/140,875.44 = 61,802.60/x
  3. Step 3: Cross multiply
    102,081.56x = 140,875.44 × 61,802.60
  4. Step 4: Simplify right side
    102,081.56x = 8,706,468,468.14
  5. Step 5: Solve for x
    x = 8,706,468,468.14/102,081.56
  6. Step 6: Final answer
    x = 85,289.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.