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Finding the Fourth Proportional to 303,988.83, 456,081.66 and 146,196.78

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Solution

The fourth proportional to 303,988.83, 456,081.66 and 146,196.78 is: 219,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,988.83 : 456,081.66 = 146,196.78 : x
  2. Step 2: Convert to fraction form
    303,988.83/456,081.66 = 146,196.78/x
  3. Step 3: Cross multiply
    303,988.83x = 456,081.66 × 146,196.78
  4. Step 4: Simplify right side
    303,988.83x = 66,677,670,109.05
  5. Step 5: Solve for x
    x = 66,677,670,109.05/303,988.83
  6. Step 6: Final answer
    x = 219,342.50

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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.