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Finding the Fourth Proportional to 155,777.57, 214,973.16 and 84,157.57

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Solution

The fourth proportional to 155,777.57, 214,973.16 and 84,157.57 is: 116,137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,777.57 : 214,973.16 = 84,157.57 : x
  2. Step 2: Convert to fraction form
    155,777.57/214,973.16 = 84,157.57/x
  3. Step 3: Cross multiply
    155,777.57x = 214,973.16 × 84,157.57
  4. Step 4: Simplify right side
    155,777.57x = 18,091,618,340.03
  5. Step 5: Solve for x
    x = 18,091,618,340.03/155,777.57
  6. Step 6: Final answer
    x = 116,137.51

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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.