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Finding the Fourth Proportional to 186,563.67, 257,499.45 and 118,567.41

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Solution

The fourth proportional to 186,563.67, 257,499.45 and 118,567.41 is: 163,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,563.67 : 257,499.45 = 118,567.41 : x
  2. Step 2: Convert to fraction form
    186,563.67/257,499.45 = 118,567.41/x
  3. Step 3: Cross multiply
    186,563.67x = 257,499.45 × 118,567.41
  4. Step 4: Simplify right side
    186,563.67x = 30,531,042,862.92
  5. Step 5: Solve for x
    x = 30,531,042,862.92/186,563.67
  6. Step 6: Final answer
    x = 163,649.45

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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.