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Finding the Fourth Proportional to 260,199.12, 359,070.12 and 147,019.44

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Solution

The fourth proportional to 260,199.12, 359,070.12 and 147,019.44 is: 202,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,199.12 : 359,070.12 = 147,019.44 : x
  2. Step 2: Convert to fraction form
    260,199.12/359,070.12 = 147,019.44/x
  3. Step 3: Cross multiply
    260,199.12x = 359,070.12 × 147,019.44
  4. Step 4: Simplify right side
    260,199.12x = 52,790,287,963.13
  5. Step 5: Solve for x
    x = 52,790,287,963.13/260,199.12
  6. Step 6: Final answer
    x = 202,884.19

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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.