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Finding the Fourth Proportional to 151,704, 227,556 and 40,896

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Solution

The fourth proportional to 151,704, 227,556 and 40,896 is: 61,344

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,704 : 227,556 = 40,896 : x
  2. Step 2: Convert to fraction form
    151,704/227,556 = 40,896/x
  3. Step 3: Cross multiply
    151,704x = 227,556 × 40,896
  4. Step 4: Simplify right side
    151,704x = 9,306,130,176
  5. Step 5: Solve for x
    x = 9,306,130,176/151,704
  6. Step 6: Final answer
    x = 61,344

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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.