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Finding the Fourth Proportional to 99,777.29, 149,690.54 and 29,656.61

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Solution

The fourth proportional to 99,777.29, 149,690.54 and 29,656.61 is: 44,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,777.29 : 149,690.54 = 29,656.61 : x
  2. Step 2: Convert to fraction form
    99,777.29/149,690.54 = 29,656.61/x
  3. Step 3: Cross multiply
    99,777.29x = 149,690.54 × 29,656.61
  4. Step 4: Simplify right side
    99,777.29x = 4,439,313,291.16
  5. Step 5: Solve for x
    x = 4,439,313,291.16/99,777.29
  6. Step 6: Final answer
    x = 44,492.22

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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.