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Finding the Fourth Proportional to 313,154.38, 469,730.30 and 113,428.02

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Solution

The fourth proportional to 313,154.38, 469,730.30 and 113,428.02 is: 170,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,154.38 : 469,730.30 = 113,428.02 : x
  2. Step 2: Convert to fraction form
    313,154.38/469,730.30 = 113,428.02/x
  3. Step 3: Cross multiply
    313,154.38x = 469,730.30 × 113,428.02
  4. Step 4: Simplify right side
    313,154.38x = 53,280,577,863.01
  5. Step 5: Solve for x
    x = 53,280,577,863.01/313,154.38
  6. Step 6: Final answer
    x = 170,141.57

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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.