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Finding the Fourth Proportional to 208,392, 287,581.08 and 112,899.36

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Solution

The fourth proportional to 208,392, 287,581.08 and 112,899.36 is: 155,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,392 : 287,581.08 = 112,899.36 : x
  2. Step 2: Convert to fraction form
    208,392/287,581.08 = 112,899.36/x
  3. Step 3: Cross multiply
    208,392x = 287,581.08 × 112,899.36
  4. Step 4: Simplify right side
    208,392x = 32,467,719,880.11
  5. Step 5: Solve for x
    x = 32,467,719,880.11/208,392
  6. Step 6: Final answer
    x = 155,801.18

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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.