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Finding the Fourth Proportional to 152,588.73, 210,564.03 and 84,601.74

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Solution

The fourth proportional to 152,588.73, 210,564.03 and 84,601.74 is: 116,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,588.73 : 210,564.03 = 84,601.74 : x
  2. Step 2: Convert to fraction form
    152,588.73/210,564.03 = 84,601.74/x
  3. Step 3: Cross multiply
    152,588.73x = 210,564.03 × 84,601.74
  4. Step 4: Simplify right side
    152,588.73x = 17,814,083,319.41
  5. Step 5: Solve for x
    x = 17,814,083,319.41/152,588.73
  6. Step 6: Final answer
    x = 116,745.73

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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.