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Finding the Fourth Proportional to 285,282.80, 427,762.20 and 107,795.60

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Solution

The fourth proportional to 285,282.80, 427,762.20 and 107,795.60 is: 161,632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,282.80 : 427,762.20 = 107,795.60 : x
  2. Step 2: Convert to fraction form
    285,282.80/427,762.20 = 107,795.60/x
  3. Step 3: Cross multiply
    285,282.80x = 427,762.20 × 107,795.60
  4. Step 4: Simplify right side
    285,282.80x = 46,110,883,006.32
  5. Step 5: Solve for x
    x = 46,110,883,006.32/285,282.80
  6. Step 6: Final answer
    x = 161,632.19

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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.