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Finding the Fourth Proportional to 432,852.93, 649,349.18 and 133,333.22

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Solution

The fourth proportional to 432,852.93, 649,349.18 and 133,333.22 is: 200,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,852.93 : 649,349.18 = 133,333.22 : x
  2. Step 2: Convert to fraction form
    432,852.93/649,349.18 = 133,333.22/x
  3. Step 3: Cross multiply
    432,852.93x = 649,349.18 × 133,333.22
  4. Step 4: Simplify right side
    432,852.93x = 86,579,818,530.47
  5. Step 5: Solve for x
    x = 86,579,818,530.47/432,852.93
  6. Step 6: Final answer
    x = 200,021.33

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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.