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Finding the Fourth Proportional to 151,950.13, 227,928.14 and 46,769

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Solution

The fourth proportional to 151,950.13, 227,928.14 and 46,769 is: 70,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,950.13 : 227,928.14 = 46,769 : x
  2. Step 2: Convert to fraction form
    151,950.13/227,928.14 = 46,769/x
  3. Step 3: Cross multiply
    151,950.13x = 227,928.14 × 46,769
  4. Step 4: Simplify right side
    151,950.13x = 10,659,971,179.66
  5. Step 5: Solve for x
    x = 10,659,971,179.66/151,950.13
  6. Step 6: Final answer
    x = 70,154.41

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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.