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Finding the Fourth Proportional to 118,497.84, 177,746.94 and 47,452.47

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Solution

The fourth proportional to 118,497.84, 177,746.94 and 47,452.47 is: 71,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,497.84 : 177,746.94 = 47,452.47 : x
  2. Step 2: Convert to fraction form
    118,497.84/177,746.94 = 47,452.47/x
  3. Step 3: Cross multiply
    118,497.84x = 177,746.94 × 47,452.47
  4. Step 4: Simplify right side
    118,497.84x = 8,434,531,337.94
  5. Step 5: Solve for x
    x = 8,434,531,337.94/118,497.84
  6. Step 6: Final answer
    x = 71,178.78

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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.