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Finding the Fourth Proportional to 281,615.40, 422,730.30 and 157,199.40

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Solution

The fourth proportional to 281,615.40, 422,730.30 and 157,199.40 is: 235,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,615.40 : 422,730.30 = 157,199.40 : x
  2. Step 2: Convert to fraction form
    281,615.40/422,730.30 = 157,199.40/x
  3. Step 3: Cross multiply
    281,615.40x = 422,730.30 × 157,199.40
  4. Step 4: Simplify right side
    281,615.40x = 66,452,949,521.82
  5. Step 5: Solve for x
    x = 66,452,949,521.82/281,615.40
  6. Step 6: Final answer
    x = 235,970.58

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1.5x scale

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.