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Finding the Fourth Proportional to 102,851.92, 154,365.54 and 40,566.16

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Solution

The fourth proportional to 102,851.92, 154,365.54 and 40,566.16 is: 60,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,851.92 : 154,365.54 = 40,566.16 : x
  2. Step 2: Convert to fraction form
    102,851.92/154,365.54 = 40,566.16/x
  3. Step 3: Cross multiply
    102,851.92x = 154,365.54 × 40,566.16
  4. Step 4: Simplify right side
    102,851.92x = 6,262,017,194.13
  5. Step 5: Solve for x
    x = 6,262,017,194.13/102,851.92
  6. Step 6: Final answer
    x = 60,883.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.