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Finding the Fourth Proportional to 99,602.10, 149,429.75 and 43,446.74

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Solution

The fourth proportional to 99,602.10, 149,429.75 and 43,446.74 is: 65,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,602.10 : 149,429.75 = 43,446.74 : x
  2. Step 2: Convert to fraction form
    99,602.10/149,429.75 = 43,446.74/x
  3. Step 3: Cross multiply
    99,602.10x = 149,429.75 × 43,446.74
  4. Step 4: Simplify right side
    99,602.10x = 6,492,234,532.13
  5. Step 5: Solve for x
    x = 6,492,234,532.13/99,602.10
  6. Step 6: Final answer
    x = 65,181.70

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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.