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Finding the Fourth Proportional to 147,734.64, 221,636.88 and 47,894.88

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Solution

The fourth proportional to 147,734.64, 221,636.88 and 47,894.88 is: 71,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,734.64 : 221,636.88 = 47,894.88 : x
  2. Step 2: Convert to fraction form
    147,734.64/221,636.88 = 47,894.88/x
  3. Step 3: Cross multiply
    147,734.64x = 221,636.88 × 47,894.88
  4. Step 4: Simplify right side
    147,734.64x = 10,615,271,771.17
  5. Step 5: Solve for x
    x = 10,615,271,771.17/147,734.64
  6. Step 6: Final answer
    x = 71,853.64

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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.