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Finding the Fourth Proportional to 309,119.56, 463,545.66 and 106,737

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Solution

The fourth proportional to 309,119.56, 463,545.66 and 106,737 is: 160,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,119.56 : 463,545.66 = 106,737 : x
  2. Step 2: Convert to fraction form
    309,119.56/463,545.66 = 106,737/x
  3. Step 3: Cross multiply
    309,119.56x = 463,545.66 × 106,737
  4. Step 4: Simplify right side
    309,119.56x = 49,477,473,111.42
  5. Step 5: Solve for x
    x = 49,477,473,111.42/309,119.56
  6. Step 6: Final answer
    x = 160,059.34

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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.