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Finding the Fourth Proportional to 191,855.18, 264,927.30 and 120,358.10

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Solution

The fourth proportional to 191,855.18, 264,927.30 and 120,358.10 is: 166,199.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,855.18 : 264,927.30 = 120,358.10 : x
  2. Step 2: Convert to fraction form
    191,855.18/264,927.30 = 120,358.10/x
  3. Step 3: Cross multiply
    191,855.18x = 264,927.30 × 120,358.10
  4. Step 4: Simplify right side
    191,855.18x = 31,886,146,466.13
  5. Step 5: Solve for x
    x = 31,886,146,466.13/191,855.18
  6. Step 6: Final answer
    x = 166,199.04

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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.