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Finding the Fourth Proportional to 147,549, 221,323.50 and 49,053

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Solution

The fourth proportional to 147,549, 221,323.50 and 49,053 is: 73,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,549 : 221,323.50 = 49,053 : x
  2. Step 2: Convert to fraction form
    147,549/221,323.50 = 49,053/x
  3. Step 3: Cross multiply
    147,549x = 221,323.50 × 49,053
  4. Step 4: Simplify right side
    147,549x = 10,856,581,645.50
  5. Step 5: Solve for x
    x = 10,856,581,645.50/147,549
  6. Step 6: Final answer
    x = 73,579.50

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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.