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Finding the Fourth Proportional to 201,158.81, 277,371.95 and 146,614.57

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Solution

The fourth proportional to 201,158.81, 277,371.95 and 146,614.57 is: 202,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,158.81 : 277,371.95 = 146,614.57 : x
  2. Step 2: Convert to fraction form
    201,158.81/277,371.95 = 146,614.57/x
  3. Step 3: Cross multiply
    201,158.81x = 277,371.95 × 146,614.57
  4. Step 4: Simplify right side
    201,158.81x = 40,666,769,313.03
  5. Step 5: Solve for x
    x = 40,666,769,313.03/201,158.81
  6. Step 6: Final answer
    x = 202,162.51

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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.