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Finding the Fourth Proportional to 291,189.24, 401,844.02 and 162,129.51

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Solution

The fourth proportional to 291,189.24, 401,844.02 and 162,129.51 is: 223,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,189.24 : 401,844.02 = 162,129.51 : x
  2. Step 2: Convert to fraction form
    291,189.24/401,844.02 = 162,129.51/x
  3. Step 3: Cross multiply
    291,189.24x = 401,844.02 × 162,129.51
  4. Step 4: Simplify right side
    291,189.24x = 65,150,773,248.38
  5. Step 5: Solve for x
    x = 65,150,773,248.38/291,189.24
  6. Step 6: Final answer
    x = 223,740.32

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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.