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Finding the Fourth Proportional to 301,851.60, 452,489.40 and 112,261.20

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Solution

The fourth proportional to 301,851.60, 452,489.40 and 112,261.20 is: 168,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,851.60 : 452,489.40 = 112,261.20 : x
  2. Step 2: Convert to fraction form
    301,851.60/452,489.40 = 112,261.20/x
  3. Step 3: Cross multiply
    301,851.60x = 452,489.40 × 112,261.20
  4. Step 4: Simplify right side
    301,851.60x = 50,797,003,031.28
  5. Step 5: Solve for x
    x = 50,797,003,031.28/301,851.60
  6. Step 6: Final answer
    x = 168,284.69

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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.