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Finding the Fourth Proportional to 364,137.28, 546,205.92 and 114,819.28

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Solution

The fourth proportional to 364,137.28, 546,205.92 and 114,819.28 is: 172,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,137.28 : 546,205.92 = 114,819.28 : x
  2. Step 2: Convert to fraction form
    364,137.28/546,205.92 = 114,819.28/x
  3. Step 3: Cross multiply
    364,137.28x = 546,205.92 × 114,819.28
  4. Step 4: Simplify right side
    364,137.28x = 62,714,971,364.18
  5. Step 5: Solve for x
    x = 62,714,971,364.18/364,137.28
  6. Step 6: Final answer
    x = 172,228.92

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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.