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Finding the Fourth Proportional to 292,108.14, 403,145.10 and 164,781

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Solution

The fourth proportional to 292,108.14, 403,145.10 and 164,781 is: 227,418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,108.14 : 403,145.10 = 164,781 : x
  2. Step 2: Convert to fraction form
    292,108.14/403,145.10 = 164,781/x
  3. Step 3: Cross multiply
    292,108.14x = 403,145.10 × 164,781
  4. Step 4: Simplify right side
    292,108.14x = 66,430,652,723.10
  5. Step 5: Solve for x
    x = 66,430,652,723.10/292,108.14
  6. Step 6: Final answer
    x = 227,418.01

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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.