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Finding the Fourth Proportional to 208,051.63, 287,113.32 and 112,560.37

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Solution

The fourth proportional to 208,051.63, 287,113.32 and 112,560.37 is: 155,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,051.63 : 287,113.32 = 112,560.37 : x
  2. Step 2: Convert to fraction form
    208,051.63/287,113.32 = 112,560.37/x
  3. Step 3: Cross multiply
    208,051.63x = 287,113.32 × 112,560.37
  4. Step 4: Simplify right side
    208,051.63x = 32,317,581,531.13
  5. Step 5: Solve for x
    x = 32,317,581,531.13/208,051.63
  6. Step 6: Final answer
    x = 155,334.43

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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.