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Finding the Fourth Proportional to 401,057.10, 601,563.51 and 134,790.12

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Solution

The fourth proportional to 401,057.10, 601,563.51 and 134,790.12 is: 202,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,057.10 : 601,563.51 = 134,790.12 : x
  2. Step 2: Convert to fraction form
    401,057.10/601,563.51 = 134,790.12/x
  3. Step 3: Cross multiply
    401,057.10x = 601,563.51 × 134,790.12
  4. Step 4: Simplify right side
    401,057.10x = 81,084,817,700.52
  5. Step 5: Solve for x
    x = 81,084,817,700.52/401,057.10
  6. Step 6: Final answer
    x = 202,177.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.