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Finding the Fourth Proportional to 208,203.12, 287,319.96 and 112,709.79

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Solution

The fourth proportional to 208,203.12, 287,319.96 and 112,709.79 is: 155,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,203.12 : 287,319.96 = 112,709.79 : x
  2. Step 2: Convert to fraction form
    208,203.12/287,319.96 = 112,709.79/x
  3. Step 3: Cross multiply
    208,203.12x = 287,319.96 × 112,709.79
  4. Step 4: Simplify right side
    208,203.12x = 32,383,772,354.41
  5. Step 5: Solve for x
    x = 32,383,772,354.41/208,203.12
  6. Step 6: Final answer
    x = 155,539.32

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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.