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Finding the Fourth Proportional to 309,101.70, 463,533.48 and 109,384.86

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Solution

The fourth proportional to 309,101.70, 463,533.48 and 109,384.86 is: 164,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,101.70 : 463,533.48 = 109,384.86 : x
  2. Step 2: Convert to fraction form
    309,101.70/463,533.48 = 109,384.86/x
  3. Step 3: Cross multiply
    309,101.70x = 463,533.48 × 109,384.86
  4. Step 4: Simplify right side
    309,101.70x = 50,703,544,815.11
  5. Step 5: Solve for x
    x = 50,703,544,815.11/309,101.70
  6. Step 6: Final answer
    x = 164,035.15

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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.