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Finding the Fourth Proportional to 314,136.08, 471,126.26 and 89,498.46

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Solution

The fourth proportional to 314,136.08, 471,126.26 and 89,498.46 is: 134,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,136.08 : 471,126.26 = 89,498.46 : x
  2. Step 2: Convert to fraction form
    314,136.08/471,126.26 = 89,498.46/x
  3. Step 3: Cross multiply
    314,136.08x = 471,126.26 × 89,498.46
  4. Step 4: Simplify right side
    314,136.08x = 42,165,074,735.56
  5. Step 5: Solve for x
    x = 42,165,074,735.56/314,136.08
  6. Step 6: Final answer
    x = 134,225.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.