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Finding the Fourth Proportional to 147,649.87, 221,294.87 and 76,533.30

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Solution

The fourth proportional to 147,649.87, 221,294.87 and 76,533.30 is: 114,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,649.87 : 221,294.87 = 76,533.30 : x
  2. Step 2: Convert to fraction form
    147,649.87/221,294.87 = 76,533.30/x
  3. Step 3: Cross multiply
    147,649.87x = 221,294.87 × 76,533.30
  4. Step 4: Simplify right side
    147,649.87x = 16,936,427,009.00
  5. Step 5: Solve for x
    x = 16,936,427,009.00/147,649.87
  6. Step 6: Final answer
    x = 114,706.68

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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.