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Finding the Fourth Proportional to 144,900.48, 217,368.36 and 45,066

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Solution

The fourth proportional to 144,900.48, 217,368.36 and 45,066 is: 67,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,900.48 : 217,368.36 = 45,066 : x
  2. Step 2: Convert to fraction form
    144,900.48/217,368.36 = 45,066/x
  3. Step 3: Cross multiply
    144,900.48x = 217,368.36 × 45,066
  4. Step 4: Simplify right side
    144,900.48x = 9,795,922,511.76
  5. Step 5: Solve for x
    x = 9,795,922,511.76/144,900.48
  6. Step 6: Final answer
    x = 67,604.49

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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.