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Finding the Fourth Proportional to 301,727.60, 452,303.40 and 112,137.20

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Solution

The fourth proportional to 301,727.60, 452,303.40 and 112,137.20 is: 168,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,727.60 : 452,303.40 = 112,137.20 : x
  2. Step 2: Convert to fraction form
    301,727.60/452,303.40 = 112,137.20/x
  3. Step 3: Cross multiply
    301,727.60x = 452,303.40 × 112,137.20
  4. Step 4: Simplify right side
    301,727.60x = 50,720,036,826.48
  5. Step 5: Solve for x
    x = 50,720,036,826.48/301,727.60
  6. Step 6: Final answer
    x = 168,098.76

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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.