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Finding the Fourth Proportional to 420,266.16, 630,498.87 and 120,739.50

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Solution

The fourth proportional to 420,266.16, 630,498.87 and 120,739.50 is: 181,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,266.16 : 630,498.87 = 120,739.50 : x
  2. Step 2: Convert to fraction form
    420,266.16/630,498.87 = 120,739.50/x
  3. Step 3: Cross multiply
    420,266.16x = 630,498.87 × 120,739.50
  4. Step 4: Simplify right side
    420,266.16x = 76,126,118,314.37
  5. Step 5: Solve for x
    x = 76,126,118,314.37/420,266.16
  6. Step 6: Final answer
    x = 181,137.87

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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.