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Finding the Fourth Proportional to 214,577.26, 296,097.05 and 127,347.32

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Solution

The fourth proportional to 214,577.26, 296,097.05 and 127,347.32 is: 175,727.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,577.26 : 296,097.05 = 127,347.32 : x
  2. Step 2: Convert to fraction form
    214,577.26/296,097.05 = 127,347.32/x
  3. Step 3: Cross multiply
    214,577.26x = 296,097.05 × 127,347.32
  4. Step 4: Simplify right side
    214,577.26x = 37,707,164,296.92
  5. Step 5: Solve for x
    x = 37,707,164,296.92/214,577.26
  6. Step 6: Final answer
    x = 175,727.69

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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.