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Finding the Fourth Proportional to 212,086.32, 292,684.70 and 116,595.42

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Solution

The fourth proportional to 212,086.32, 292,684.70 and 116,595.42 is: 160,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,086.32 : 292,684.70 = 116,595.42 : x
  2. Step 2: Convert to fraction form
    212,086.32/292,684.70 = 116,595.42/x
  3. Step 3: Cross multiply
    212,086.32x = 292,684.70 × 116,595.42
  4. Step 4: Simplify right side
    212,086.32x = 34,125,695,524.07
  5. Step 5: Solve for x
    x = 34,125,695,524.07/212,086.32
  6. Step 6: Final answer
    x = 160,904.75

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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.