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Finding the Fourth Proportional to 215,314.47, 296,826 and 151,454.07

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Solution

The fourth proportional to 215,314.47, 296,826 and 151,454.07 is: 208,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,314.47 : 296,826 = 151,454.07 : x
  2. Step 2: Convert to fraction form
    215,314.47/296,826 = 151,454.07/x
  3. Step 3: Cross multiply
    215,314.47x = 296,826 × 151,454.07
  4. Step 4: Simplify right side
    215,314.47x = 44,955,505,781.82
  5. Step 5: Solve for x
    x = 44,955,505,781.82/215,314.47
  6. Step 6: Final answer
    x = 208,789.99

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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.