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Finding the Fourth Proportional to 200,127.54, 299,796.81 and 162,729.84

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Solution

The fourth proportional to 200,127.54, 299,796.81 and 162,729.84 is: 243,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,127.54 : 299,796.81 = 162,729.84 : x
  2. Step 2: Convert to fraction form
    200,127.54/299,796.81 = 162,729.84/x
  3. Step 3: Cross multiply
    200,127.54x = 299,796.81 × 162,729.84
  4. Step 4: Simplify right side
    200,127.54x = 48,785,886,923.81
  5. Step 5: Solve for x
    x = 48,785,886,923.81/200,127.54
  6. Step 6: Final answer
    x = 243,773.98

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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.