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Finding the Fourth Proportional to 314,178.89, 471,197.35 and 89,534.50

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Solution

The fourth proportional to 314,178.89, 471,197.35 and 89,534.50 is: 134,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,178.89 : 471,197.35 = 89,534.50 : x
  2. Step 2: Convert to fraction form
    314,178.89/471,197.35 = 89,534.50/x
  3. Step 3: Cross multiply
    314,178.89x = 471,197.35 × 89,534.50
  4. Step 4: Simplify right side
    314,178.89x = 42,188,418,067.50
  5. Step 5: Solve for x
    x = 42,188,418,067.50/314,178.89
  6. Step 6: Final answer
    x = 134,281.52

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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.