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Finding the Fourth Proportional to 314,157.95, 471,280.73 and 100,932.33

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Solution

The fourth proportional to 314,157.95, 471,280.73 and 100,932.33 is: 151,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,157.95 : 471,280.73 = 100,932.33 : x
  2. Step 2: Convert to fraction form
    314,157.95/471,280.73 = 100,932.33/x
  3. Step 3: Cross multiply
    314,157.95x = 471,280.73 × 100,932.33
  4. Step 4: Simplify right side
    314,157.95x = 47,567,462,163.00
  5. Step 5: Solve for x
    x = 47,567,462,163.00/314,157.95
  6. Step 6: Final answer
    x = 151,412.57

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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.