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Finding the Fourth Proportional to 270,613.72, 405,532.32 and 152,035.66

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Solution

The fourth proportional to 270,613.72, 405,532.32 and 152,035.66 is: 227,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,613.72 : 405,532.32 = 152,035.66 : x
  2. Step 2: Convert to fraction form
    270,613.72/405,532.32 = 152,035.66/x
  3. Step 3: Cross multiply
    270,613.72x = 405,532.32 × 152,035.66
  4. Step 4: Simplify right side
    270,613.72x = 61,655,373,922.53
  5. Step 5: Solve for x
    x = 61,655,373,922.53/270,613.72
  6. Step 6: Final answer
    x = 227,835.36

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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.