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Finding the Fourth Proportional to 200,429.94, 276,524.64 and 114,327.06

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Solution

The fourth proportional to 200,429.94, 276,524.64 and 114,327.06 is: 157,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,429.94 : 276,524.64 = 114,327.06 : x
  2. Step 2: Convert to fraction form
    200,429.94/276,524.64 = 114,327.06/x
  3. Step 3: Cross multiply
    200,429.94x = 276,524.64 × 114,327.06
  4. Step 4: Simplify right side
    200,429.94x = 31,614,249,108.76
  5. Step 5: Solve for x
    x = 31,614,249,108.76/200,429.94
  6. Step 6: Final answer
    x = 157,732.17

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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.