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Finding the Fourth Proportional to 272,894.44, 409,385.46 and 115,146.16

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Solution

The fourth proportional to 272,894.44, 409,385.46 and 115,146.16 is: 172,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,894.44 : 409,385.46 = 115,146.16 : x
  2. Step 2: Convert to fraction form
    272,894.44/409,385.46 = 115,146.16/x
  3. Step 3: Cross multiply
    272,894.44x = 409,385.46 × 115,146.16
  4. Step 4: Simplify right side
    272,894.44x = 47,139,163,678.83
  5. Step 5: Solve for x
    x = 47,139,163,678.83/272,894.44
  6. Step 6: Final answer
    x = 172,737.72

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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.