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Finding the Fourth Proportional to 309,902, 464,800.38 and 141,382.72

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Solution

The fourth proportional to 309,902, 464,800.38 and 141,382.72 is: 212,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,902 : 464,800.38 = 141,382.72 : x
  2. Step 2: Convert to fraction form
    309,902/464,800.38 = 141,382.72/x
  3. Step 3: Cross multiply
    309,902x = 464,800.38 × 141,382.72
  4. Step 4: Simplify right side
    309,902x = 65,714,741,981.43
  5. Step 5: Solve for x
    x = 65,714,741,981.43/309,902
  6. Step 6: Final answer
    x = 212,050.07

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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.