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Finding the Fourth Proportional to 191,817.42, 264,701.97 and 105,780.03

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Solution

The fourth proportional to 191,817.42, 264,701.97 and 105,780.03 is: 145,973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,817.42 : 264,701.97 = 105,780.03 : x
  2. Step 2: Convert to fraction form
    191,817.42/264,701.97 = 105,780.03/x
  3. Step 3: Cross multiply
    191,817.42x = 264,701.97 × 105,780.03
  4. Step 4: Simplify right side
    191,817.42x = 28,000,181,335.03
  5. Step 5: Solve for x
    x = 28,000,181,335.03/191,817.42
  6. Step 6: Final answer
    x = 145,973.09

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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.