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Finding the Fourth Proportional to 160,838.60, 241,179.76 and 48,498

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Solution

The fourth proportional to 160,838.60, 241,179.76 and 48,498 is: 72,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,838.60 : 241,179.76 = 48,498 : x
  2. Step 2: Convert to fraction form
    160,838.60/241,179.76 = 48,498/x
  3. Step 3: Cross multiply
    160,838.60x = 241,179.76 × 48,498
  4. Step 4: Simplify right side
    160,838.60x = 11,696,736,000.48
  5. Step 5: Solve for x
    x = 11,696,736,000.48/160,838.60
  6. Step 6: Final answer
    x = 72,723.44

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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.