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Finding the Fourth Proportional to 152,047.96, 209,822.49 and 84,063.18

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Solution

The fourth proportional to 152,047.96, 209,822.49 and 84,063.18 is: 116,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,047.96 : 209,822.49 = 84,063.18 : x
  2. Step 2: Convert to fraction form
    152,047.96/209,822.49 = 84,063.18/x
  3. Step 3: Cross multiply
    152,047.96x = 209,822.49 × 84,063.18
  4. Step 4: Simplify right side
    152,047.96x = 17,638,346,413.54
  5. Step 5: Solve for x
    x = 17,638,346,413.54/152,047.96
  6. Step 6: Final answer
    x = 116,005.15

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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.