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Finding the Fourth Proportional to 323,146.88, 484,746.24 and 112,780.16

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Solution

The fourth proportional to 323,146.88, 484,746.24 and 112,780.16 is: 169,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,146.88 : 484,746.24 = 112,780.16 : x
  2. Step 2: Convert to fraction form
    323,146.88/484,746.24 = 112,780.16/x
  3. Step 3: Cross multiply
    323,146.88x = 484,746.24 × 112,780.16
  4. Step 4: Simplify right side
    323,146.88x = 54,669,758,506.60
  5. Step 5: Solve for x
    x = 54,669,758,506.60/323,146.88
  6. Step 6: Final answer
    x = 169,179.29

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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.