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Finding the Fourth Proportional to 211,684.74, 292,074.66 and 119,805.20

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Solution

The fourth proportional to 211,684.74, 292,074.66 and 119,805.20 is: 165,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,684.74 : 292,074.66 = 119,805.20 : x
  2. Step 2: Convert to fraction form
    211,684.74/292,074.66 = 119,805.20/x
  3. Step 3: Cross multiply
    211,684.74x = 292,074.66 × 119,805.20
  4. Step 4: Simplify right side
    211,684.74x = 34,992,063,056.23
  5. Step 5: Solve for x
    x = 34,992,063,056.23/211,684.74
  6. Step 6: Final answer
    x = 165,302.72

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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.