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Finding the Fourth Proportional to 147,852.64, 221,732.43 and 47,989.77

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Solution

The fourth proportional to 147,852.64, 221,732.43 and 47,989.77 is: 71,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,852.64 : 221,732.43 = 47,989.77 : x
  2. Step 2: Convert to fraction form
    147,852.64/221,732.43 = 47,989.77/x
  3. Step 3: Cross multiply
    147,852.64x = 221,732.43 × 47,989.77
  4. Step 4: Simplify right side
    147,852.64x = 10,640,888,317.24
  5. Step 5: Solve for x
    x = 10,640,888,317.24/147,852.64
  6. Step 6: Final answer
    x = 71,969.55

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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.