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Finding the Fourth Proportional to 214,575.26, 296,094.29 and 127,345.31

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Solution

The fourth proportional to 214,575.26, 296,094.29 and 127,345.31 is: 175,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,575.26 : 296,094.29 = 127,345.31 : x
  2. Step 2: Convert to fraction form
    214,575.26/296,094.29 = 127,345.31/x
  3. Step 3: Cross multiply
    214,575.26x = 296,094.29 × 127,345.31
  4. Step 4: Simplify right side
    214,575.26x = 37,706,220,207.88
  5. Step 5: Solve for x
    x = 37,706,220,207.88/214,575.26
  6. Step 6: Final answer
    x = 175,724.92

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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.