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Finding the Fourth Proportional to 314,107.56, 471,116.88 and 100,894.01

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Solution

The fourth proportional to 314,107.56, 471,116.88 and 100,894.01 is: 151,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,107.56 : 471,116.88 = 100,894.01 : x
  2. Step 2: Convert to fraction form
    314,107.56/471,116.88 = 100,894.01/x
  3. Step 3: Cross multiply
    314,107.56x = 471,116.88 × 100,894.01
  4. Step 4: Simplify right side
    314,107.56x = 47,532,871,201.89
  5. Step 5: Solve for x
    x = 47,532,871,201.89/314,107.56
  6. Step 6: Final answer
    x = 151,326.73

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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.