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Finding the Fourth Proportional to 284,740.67, 427,228.89 and 124,733.94

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Solution

The fourth proportional to 284,740.67, 427,228.89 and 124,733.94 is: 187,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,740.67 : 427,228.89 = 124,733.94 : x
  2. Step 2: Convert to fraction form
    284,740.67/427,228.89 = 124,733.94/x
  3. Step 3: Cross multiply
    284,740.67x = 427,228.89 × 124,733.94
  4. Step 4: Simplify right side
    284,740.67x = 53,289,942,731.53
  5. Step 5: Solve for x
    x = 53,289,942,731.53/284,740.67
  6. Step 6: Final answer
    x = 187,152.55

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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.