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Finding the Fourth Proportional to 309,162.46, 463,656.21 and 140,588.50

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Solution

The fourth proportional to 309,162.46, 463,656.21 and 140,588.50 is: 210,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,162.46 : 463,656.21 = 140,588.50 : x
  2. Step 2: Convert to fraction form
    309,162.46/463,656.21 = 140,588.50/x
  3. Step 3: Cross multiply
    309,162.46x = 463,656.21 × 140,588.50
  4. Step 4: Simplify right side
    309,162.46x = 65,184,731,079.59
  5. Step 5: Solve for x
    x = 65,184,731,079.59/309,162.46
  6. Step 6: Final answer
    x = 210,842.97

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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.