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Finding the Fourth Proportional to 182,277.19, 251,544.73 and 105,814

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Solution

The fourth proportional to 182,277.19, 251,544.73 and 105,814 is: 146,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,277.19 : 251,544.73 = 105,814 : x
  2. Step 2: Convert to fraction form
    182,277.19/251,544.73 = 105,814/x
  3. Step 3: Cross multiply
    182,277.19x = 251,544.73 × 105,814
  4. Step 4: Simplify right side
    182,277.19x = 26,616,954,060.22
  5. Step 5: Solve for x
    x = 26,616,954,060.22/182,277.19
  6. Step 6: Final answer
    x = 146,024.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.