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Finding the Fourth Proportional to 147,488.50, 221,213.92 and 47,638.32

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Solution

The fourth proportional to 147,488.50, 221,213.92 and 47,638.32 is: 71,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,488.50 : 221,213.92 = 47,638.32 : x
  2. Step 2: Convert to fraction form
    147,488.50/221,213.92 = 47,638.32/x
  3. Step 3: Cross multiply
    147,488.50x = 221,213.92 × 47,638.32
  4. Step 4: Simplify right side
    147,488.50x = 10,538,259,509.41
  5. Step 5: Solve for x
    x = 10,538,259,509.41/147,488.50
  6. Step 6: Final answer
    x = 71,451.40

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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.