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Finding the Fourth Proportional to 191,390.82, 264,102.14 and 110,823.80

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Solution

The fourth proportional to 191,390.82, 264,102.14 and 110,823.80 is: 152,926.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,390.82 : 264,102.14 = 110,823.80 : x
  2. Step 2: Convert to fraction form
    191,390.82/264,102.14 = 110,823.80/x
  3. Step 3: Cross multiply
    191,390.82x = 264,102.14 × 110,823.80
  4. Step 4: Simplify right side
    191,390.82x = 29,268,802,742.93
  5. Step 5: Solve for x
    x = 29,268,802,742.93/191,390.82
  6. Step 6: Final answer
    x = 152,926.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.