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Finding the Fourth Proportional to 200,017.94, 276,039.24 and 119,448.86

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Solution

The fourth proportional to 200,017.94, 276,039.24 and 119,448.86 is: 164,848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,017.94 : 276,039.24 = 119,448.86 : x
  2. Step 2: Convert to fraction form
    200,017.94/276,039.24 = 119,448.86/x
  3. Step 3: Cross multiply
    200,017.94x = 276,039.24 × 119,448.86
  4. Step 4: Simplify right side
    200,017.94x = 32,972,572,533.27
  5. Step 5: Solve for x
    x = 32,972,572,533.27/200,017.94
  6. Step 6: Final answer
    x = 164,848.08

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Why These Related Problems?

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