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Finding the Fourth Proportional to 99,492.30, 137,294.91 and 54,169.11

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Solution

The fourth proportional to 99,492.30, 137,294.91 and 54,169.11 is: 74,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,492.30 : 137,294.91 = 54,169.11 : x
  2. Step 2: Convert to fraction form
    99,492.30/137,294.91 = 54,169.11/x
  3. Step 3: Cross multiply
    99,492.30x = 137,294.91 × 54,169.11
  4. Step 4: Simplify right side
    99,492.30x = 7,437,143,082.23
  5. Step 5: Solve for x
    x = 7,437,143,082.23/99,492.30
  6. Step 6: Final answer
    x = 74,750.94

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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.