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Finding the Fourth Proportional to 212,184.94, 292,809.38 and 116,691.64

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Solution

The fourth proportional to 212,184.94, 292,809.38 and 116,691.64 is: 161,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,184.94 : 292,809.38 = 116,691.64 : x
  2. Step 2: Convert to fraction form
    212,184.94/292,809.38 = 116,691.64/x
  3. Step 3: Cross multiply
    212,184.94x = 292,809.38 × 116,691.64
  4. Step 4: Simplify right side
    212,184.94x = 34,168,406,759.58
  5. Step 5: Solve for x
    x = 34,168,406,759.58/212,184.94
  6. Step 6: Final answer
    x = 161,031.25

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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.