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Finding the Fourth Proportional to 212,115.68, 292,712.16 and 116,621.64

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Solution

The fourth proportional to 212,115.68, 292,712.16 and 116,621.64 is: 160,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,115.68 : 292,712.16 = 116,621.64 : x
  2. Step 2: Convert to fraction form
    212,115.68/292,712.16 = 116,621.64/x
  3. Step 3: Cross multiply
    212,115.68x = 292,712.16 × 116,621.64
  4. Step 4: Simplify right side
    212,115.68x = 34,136,572,805.31
  5. Step 5: Solve for x
    x = 34,136,572,805.31/212,115.68
  6. Step 6: Final answer
    x = 160,933.75

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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.