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Finding the Fourth Proportional to 201,389.86, 277,849.99 and 114,165.61

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Solution

The fourth proportional to 201,389.86, 277,849.99 and 114,165.61 is: 157,509.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,389.86 : 277,849.99 = 114,165.61 : x
  2. Step 2: Convert to fraction form
    201,389.86/277,849.99 = 114,165.61/x
  3. Step 3: Cross multiply
    201,389.86x = 277,849.99 × 114,165.61
  4. Step 4: Simplify right side
    201,389.86x = 31,720,912,923.71
  5. Step 5: Solve for x
    x = 31,720,912,923.71/201,389.86
  6. Step 6: Final answer
    x = 157,509.98

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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.