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Finding the Fourth Proportional to 212,268.33, 292,934.85 and 116,775

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Solution

The fourth proportional to 212,268.33, 292,934.85 and 116,775 is: 161,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,268.33 : 292,934.85 = 116,775 : x
  2. Step 2: Convert to fraction form
    212,268.33/292,934.85 = 116,775/x
  3. Step 3: Cross multiply
    212,268.33x = 292,934.85 × 116,775
  4. Step 4: Simplify right side
    212,268.33x = 34,207,467,108.75
  5. Step 5: Solve for x
    x = 34,207,467,108.75/212,268.33
  6. Step 6: Final answer
    x = 161,152.01

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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.