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Finding the Fourth Proportional to 191,234.35, 286,551.82 and 120,965.23

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Solution

The fourth proportional to 191,234.35, 286,551.82 and 120,965.23 is: 181,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,234.35 : 286,551.82 = 120,965.23 : x
  2. Step 2: Convert to fraction form
    191,234.35/286,551.82 = 120,965.23/x
  3. Step 3: Cross multiply
    191,234.35x = 286,551.82 × 120,965.23
  4. Step 4: Simplify right side
    191,234.35x = 34,662,806,813.22
  5. Step 5: Solve for x
    x = 34,662,806,813.22/191,234.35
  6. Step 6: Final answer
    x = 181,258.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.