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Finding the Fourth Proportional to 309,124.57, 463,553.16 and 106,742.02

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Solution

The fourth proportional to 309,124.57, 463,553.16 and 106,742.02 is: 160,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,124.57 : 463,553.16 = 106,742.02 : x
  2. Step 2: Convert to fraction form
    309,124.57/463,553.16 = 106,742.02/x
  3. Step 3: Cross multiply
    309,124.57x = 463,553.16 × 106,742.02
  4. Step 4: Simplify right side
    309,124.57x = 49,480,600,675.78
  5. Step 5: Solve for x
    x = 49,480,600,675.78/309,124.57
  6. Step 6: Final answer
    x = 160,066.86

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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.