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Finding the Fourth Proportional to 401,194.01, 601,157.19 and 148,125.71

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Solution

The fourth proportional to 401,194.01, 601,157.19 and 148,125.71 is: 221,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,194.01 : 601,157.19 = 148,125.71 : x
  2. Step 2: Convert to fraction form
    401,194.01/601,157.19 = 148,125.71/x
  3. Step 3: Cross multiply
    401,194.01x = 601,157.19 × 148,125.71
  4. Step 4: Simplify right side
    401,194.01x = 89,046,837,648.72
  5. Step 5: Solve for x
    x = 89,046,837,648.72/401,194.01
  6. Step 6: Final answer
    x = 221,954.55

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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.