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Finding the Fourth Proportional to 191,912.22, 287,733.60 and 65,492.82

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Solution

The fourth proportional to 191,912.22, 287,733.60 and 65,492.82 is: 98,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,912.22 : 287,733.60 = 65,492.82 : x
  2. Step 2: Convert to fraction form
    191,912.22/287,733.60 = 65,492.82/x
  3. Step 3: Cross multiply
    191,912.22x = 287,733.60 × 65,492.82
  4. Step 4: Simplify right side
    191,912.22x = 18,844,484,872.75
  5. Step 5: Solve for x
    x = 18,844,484,872.75/191,912.22
  6. Step 6: Final answer
    x = 98,193.25

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Why These Related Problems?

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