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Finding the Fourth Proportional to 304,021, 456,091.98 and 93,649.96

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Solution

The fourth proportional to 304,021, 456,091.98 and 93,649.96 is: 140,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,021 : 456,091.98 = 93,649.96 : x
  2. Step 2: Convert to fraction form
    304,021/456,091.98 = 93,649.96/x
  3. Step 3: Cross multiply
    304,021x = 456,091.98 × 93,649.96
  4. Step 4: Simplify right side
    304,021x = 42,712,995,683.32
  5. Step 5: Solve for x
    x = 42,712,995,683.32/304,021
  6. Step 6: Final answer
    x = 140,493.57

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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.