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Finding the Fourth Proportional to 117,706.16, 176,567.88 and 47,583.92

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Solution

The fourth proportional to 117,706.16, 176,567.88 and 47,583.92 is: 71,379.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,706.16 : 176,567.88 = 47,583.92 : x
  2. Step 2: Convert to fraction form
    117,706.16/176,567.88 = 47,583.92/x
  3. Step 3: Cross multiply
    117,706.16x = 176,567.88 × 47,583.92
  4. Step 4: Simplify right side
    117,706.16x = 8,401,791,876.49
  5. Step 5: Solve for x
    x = 8,401,791,876.49/117,706.16
  6. Step 6: Final answer
    x = 71,379.37

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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.