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Finding the Fourth Proportional to 260,164.32, 359,033.76 and 146,984.64

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Solution

The fourth proportional to 260,164.32, 359,033.76 and 146,984.64 is: 202,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,164.32 : 359,033.76 = 146,984.64 : x
  2. Step 2: Convert to fraction form
    260,164.32/359,033.76 = 146,984.64/x
  3. Step 3: Cross multiply
    260,164.32x = 359,033.76 × 146,984.64
  4. Step 4: Simplify right side
    260,164.32x = 52,772,447,961.45
  5. Step 5: Solve for x
    x = 52,772,447,961.45/260,164.32
  6. Step 6: Final answer
    x = 202,842.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.