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Finding the Fourth Proportional to 208,152.48, 287,219.64 and 126,438.24

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Solution

The fourth proportional to 208,152.48, 287,219.64 and 126,438.24 is: 174,466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,152.48 : 287,219.64 = 126,438.24 : x
  2. Step 2: Convert to fraction form
    208,152.48/287,219.64 = 126,438.24/x
  3. Step 3: Cross multiply
    208,152.48x = 287,219.64 × 126,438.24
  4. Step 4: Simplify right side
    208,152.48x = 36,315,545,775.03
  5. Step 5: Solve for x
    x = 36,315,545,775.03/208,152.48
  6. Step 6: Final answer
    x = 174,466.07

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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.