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Finding the Fourth Proportional to 291,162.60, 401,793.13 and 162,106.14

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Solution

The fourth proportional to 291,162.60, 401,793.13 and 162,106.14 is: 223,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,162.60 : 401,793.13 = 162,106.14 : x
  2. Step 2: Convert to fraction form
    291,162.60/401,793.13 = 162,106.14/x
  3. Step 3: Cross multiply
    291,162.60x = 401,793.13 × 162,106.14
  4. Step 4: Simplify right side
    291,162.60x = 65,133,132,157.97
  5. Step 5: Solve for x
    x = 65,133,132,157.97/291,162.60
  6. Step 6: Final answer
    x = 223,700.20

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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.