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Finding the Fourth Proportional to 152,606.94, 210,619.17 and 84,638.94

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Solution

The fourth proportional to 152,606.94, 210,619.17 and 84,638.94 is: 116,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,606.94 : 210,619.17 = 84,638.94 : x
  2. Step 2: Convert to fraction form
    152,606.94/210,619.17 = 84,638.94/x
  3. Step 3: Cross multiply
    152,606.94x = 210,619.17 × 84,638.94
  4. Step 4: Simplify right side
    152,606.94x = 17,826,583,292.48
  5. Step 5: Solve for x
    x = 17,826,583,292.48/152,606.94
  6. Step 6: Final answer
    x = 116,813.71

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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.