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Finding the Fourth Proportional to 401,039.10, 601,558.65 and 134,711.10

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Solution

The fourth proportional to 401,039.10, 601,558.65 and 134,711.10 is: 202,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,039.10 : 601,558.65 = 134,711.10 : x
  2. Step 2: Convert to fraction form
    401,039.10/601,558.65 = 134,711.10/x
  3. Step 3: Cross multiply
    401,039.10x = 601,558.65 × 134,711.10
  4. Step 4: Simplify right side
    401,039.10x = 81,036,627,456.02
  5. Step 5: Solve for x
    x = 81,036,627,456.02/401,039.10
  6. Step 6: Final answer
    x = 202,066.65

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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.