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Finding the Fourth Proportional to 287,893.93, 431,825.31 and 88,214.90

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Solution

The fourth proportional to 287,893.93, 431,825.31 and 88,214.90 is: 132,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,893.93 : 431,825.31 = 88,214.90 : x
  2. Step 2: Convert to fraction form
    287,893.93/431,825.31 = 88,214.90/x
  3. Step 3: Cross multiply
    287,893.93x = 431,825.31 × 88,214.90
  4. Step 4: Simplify right side
    287,893.93x = 38,093,428,023.52
  5. Step 5: Solve for x
    x = 38,093,428,023.52/287,893.93
  6. Step 6: Final answer
    x = 132,317.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.