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Finding the Fourth Proportional to 114,696.72, 171,980.28 and 47,209.95

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Solution

The fourth proportional to 114,696.72, 171,980.28 and 47,209.95 is: 70,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,696.72 : 171,980.28 = 47,209.95 : x
  2. Step 2: Convert to fraction form
    114,696.72/171,980.28 = 47,209.95/x
  3. Step 3: Cross multiply
    114,696.72x = 171,980.28 × 47,209.95
  4. Step 4: Simplify right side
    114,696.72x = 8,119,180,419.79
  5. Step 5: Solve for x
    x = 8,119,180,419.79/114,696.72
  6. Step 6: Final answer
    x = 70,788.25

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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.