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Finding the Fourth Proportional to 185,293.67, 277,814.70 and 58,896

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Solution

The fourth proportional to 185,293.67, 277,814.70 and 58,896 is: 88,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,293.67 : 277,814.70 = 58,896 : x
  2. Step 2: Convert to fraction form
    185,293.67/277,814.70 = 58,896/x
  3. Step 3: Cross multiply
    185,293.67x = 277,814.70 × 58,896
  4. Step 4: Simplify right side
    185,293.67x = 16,362,174,571.20
  5. Step 5: Solve for x
    x = 16,362,174,571.20/185,293.67
  6. Step 6: Final answer
    x = 88,304.01

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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.