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Finding the Fourth Proportional to 114,113.76, 171,097.72 and 47,599.80

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Solution

The fourth proportional to 114,113.76, 171,097.72 and 47,599.80 is: 71,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,113.76 : 171,097.72 = 47,599.80 : x
  2. Step 2: Convert to fraction form
    114,113.76/171,097.72 = 47,599.80/x
  3. Step 3: Cross multiply
    114,113.76x = 171,097.72 × 47,599.80
  4. Step 4: Simplify right side
    114,113.76x = 8,144,217,252.46
  5. Step 5: Solve for x
    x = 8,144,217,252.46/114,113.76
  6. Step 6: Final answer
    x = 71,369.28

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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.