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Finding the Fourth Proportional to 284,187.96, 425,996.82 and 97,071.48

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Solution

The fourth proportional to 284,187.96, 425,996.82 and 97,071.48 is: 145,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,187.96 : 425,996.82 = 97,071.48 : x
  2. Step 2: Convert to fraction form
    284,187.96/425,996.82 = 97,071.48/x
  3. Step 3: Cross multiply
    284,187.96x = 425,996.82 × 97,071.48
  4. Step 4: Simplify right side
    284,187.96x = 41,352,141,792.69
  5. Step 5: Solve for x
    x = 41,352,141,792.69/284,187.96
  6. Step 6: Final answer
    x = 145,509.83

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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.