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Finding the Fourth Proportional to 151,755.84, 209,432.16 and 84,692.16

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Solution

The fourth proportional to 151,755.84, 209,432.16 and 84,692.16 is: 116,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,755.84 : 209,432.16 = 84,692.16 : x
  2. Step 2: Convert to fraction form
    151,755.84/209,432.16 = 84,692.16/x
  3. Step 3: Cross multiply
    151,755.84x = 209,432.16 × 84,692.16
  4. Step 4: Simplify right side
    151,755.84x = 17,737,262,003.87
  5. Step 5: Solve for x
    x = 17,737,262,003.87/151,755.84
  6. Step 6: Final answer
    x = 116,880.26

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1.5x scale

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.