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Finding the Fourth Proportional to 273,548.94, 411,045.03 and 147,282.54

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Solution

The fourth proportional to 273,548.94, 411,045.03 and 147,282.54 is: 221,312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,548.94 : 411,045.03 = 147,282.54 : x
  2. Step 2: Convert to fraction form
    273,548.94/411,045.03 = 147,282.54/x
  3. Step 3: Cross multiply
    273,548.94x = 411,045.03 × 147,282.54
  4. Step 4: Simplify right side
    273,548.94x = 60,539,756,072.78
  5. Step 5: Solve for x
    x = 60,539,756,072.78/273,548.94
  6. Step 6: Final answer
    x = 221,312.34

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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.