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Finding the Fourth Proportional to 208,457.20, 287,672.70 and 122,393.80

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Solution

The fourth proportional to 208,457.20, 287,672.70 and 122,393.80 is: 168,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,457.20 : 287,672.70 = 122,393.80 : x
  2. Step 2: Convert to fraction form
    208,457.20/287,672.70 = 122,393.80/x
  3. Step 3: Cross multiply
    208,457.20x = 287,672.70 × 122,393.80
  4. Step 4: Simplify right side
    208,457.20x = 35,209,354,909.26
  5. Step 5: Solve for x
    x = 35,209,354,909.26/208,457.20
  6. Step 6: Final answer
    x = 168,904.48

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