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Finding the Fourth Proportional to 208,272.87, 287,416.01 and 112,779.54

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Solution

The fourth proportional to 208,272.87, 287,416.01 and 112,779.54 is: 155,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,272.87 : 287,416.01 = 112,779.54 : x
  2. Step 2: Convert to fraction form
    208,272.87/287,416.01 = 112,779.54/x
  3. Step 3: Cross multiply
    208,272.87x = 287,416.01 × 112,779.54
  4. Step 4: Simplify right side
    208,272.87x = 32,414,645,678.38
  5. Step 5: Solve for x
    x = 32,414,645,678.38/208,272.87
  6. Step 6: Final answer
    x = 155,635.47

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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.