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Finding the Fourth Proportional to 152,037.95, 209,811.26 and 84,057.89

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Solution

The fourth proportional to 152,037.95, 209,811.26 and 84,057.89 is: 115,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,037.95 : 209,811.26 = 84,057.89 : x
  2. Step 2: Convert to fraction form
    152,037.95/209,811.26 = 84,057.89/x
  3. Step 3: Cross multiply
    152,037.95x = 209,811.26 × 84,057.89
  4. Step 4: Simplify right side
    152,037.95x = 17,636,290,974.93
  5. Step 5: Solve for x
    x = 17,636,290,974.93/152,037.95
  6. Step 6: Final answer
    x = 115,999.27

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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.