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Finding the Fourth Proportional to 115,998.21, 160,077.47 and 65,697.21

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Solution

The fourth proportional to 115,998.21, 160,077.47 and 65,697.21 is: 90,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,998.21 : 160,077.47 = 65,697.21 : x
  2. Step 2: Convert to fraction form
    115,998.21/160,077.47 = 65,697.21/x
  3. Step 3: Cross multiply
    115,998.21x = 160,077.47 × 65,697.21
  4. Step 4: Simplify right side
    115,998.21x = 10,516,642,834.37
  5. Step 5: Solve for x
    x = 10,516,642,834.37/115,998.21
  6. Step 6: Final answer
    x = 90,662.11

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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.