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Finding the Fourth Proportional to 118,497.34, 177,746.19 and 47,451.97

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Solution

The fourth proportional to 118,497.34, 177,746.19 and 47,451.97 is: 71,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,497.34 : 177,746.19 = 47,451.97 : x
  2. Step 2: Convert to fraction form
    118,497.34/177,746.19 = 47,451.97/x
  3. Step 3: Cross multiply
    118,497.34x = 177,746.19 × 47,451.97
  4. Step 4: Simplify right side
    118,497.34x = 8,434,406,875.49
  5. Step 5: Solve for x
    x = 8,434,406,875.49/118,497.34
  6. Step 6: Final answer
    x = 71,178.03

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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.