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Finding the Fourth Proportional to 282,561.66, 389,762.15 and 167,762.43

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Solution

The fourth proportional to 282,561.66, 389,762.15 and 167,762.43 is: 231,409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,561.66 : 389,762.15 = 167,762.43 : x
  2. Step 2: Convert to fraction form
    282,561.66/389,762.15 = 167,762.43/x
  3. Step 3: Cross multiply
    282,561.66x = 389,762.15 × 167,762.43
  4. Step 4: Simplify right side
    282,561.66x = 65,387,444,567.21
  5. Step 5: Solve for x
    x = 65,387,444,567.21/282,561.66
  6. Step 6: Final answer
    x = 231,409.47

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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.