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Finding the Fourth Proportional to 199,606.41, 299,461.59 and 99,762.57

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Solution

The fourth proportional to 199,606.41, 299,461.59 and 99,762.57 is: 149,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,606.41 : 299,461.59 = 99,762.57 : x
  2. Step 2: Convert to fraction form
    199,606.41/299,461.59 = 99,762.57/x
  3. Step 3: Cross multiply
    199,606.41x = 299,461.59 × 99,762.57
  4. Step 4: Simplify right side
    199,606.41x = 29,875,057,834.69
  5. Step 5: Solve for x
    x = 29,875,057,834.69/199,606.41
  6. Step 6: Final answer
    x = 149,669.83

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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.