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Finding the Fourth Proportional to 191,821.66, 264,605.34 and 120,077.08

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Solution

The fourth proportional to 191,821.66, 264,605.34 and 120,077.08 is: 165,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,821.66 : 264,605.34 = 120,077.08 : x
  2. Step 2: Convert to fraction form
    191,821.66/264,605.34 = 120,077.08/x
  3. Step 3: Cross multiply
    191,821.66x = 264,605.34 × 120,077.08
  4. Step 4: Simplify right side
    191,821.66x = 31,773,036,579.61
  5. Step 5: Solve for x
    x = 31,773,036,579.61/191,821.66
  6. Step 6: Final answer
    x = 165,638.42

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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.