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Finding the Fourth Proportional to 309,253.07, 463,952.20 and 96,010.09

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Solution

The fourth proportional to 309,253.07, 463,952.20 and 96,010.09 is: 144,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,253.07 : 463,952.20 = 96,010.09 : x
  2. Step 2: Convert to fraction form
    309,253.07/463,952.20 = 96,010.09/x
  3. Step 3: Cross multiply
    309,253.07x = 463,952.20 × 96,010.09
  4. Step 4: Simplify right side
    309,253.07x = 44,544,092,477.70
  5. Step 5: Solve for x
    x = 44,544,092,477.70/309,253.07
  6. Step 6: Final answer
    x = 144,037.67

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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.