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Finding the Fourth Proportional to 164,216.08, 245,709 and 116,940.40

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Solution

The fourth proportional to 164,216.08, 245,709 and 116,940.40 is: 174,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,216.08 : 245,709 = 116,940.40 : x
  2. Step 2: Convert to fraction form
    164,216.08/245,709 = 116,940.40/x
  3. Step 3: Cross multiply
    164,216.08x = 245,709 × 116,940.40
  4. Step 4: Simplify right side
    164,216.08x = 28,733,308,743.60
  5. Step 5: Solve for x
    x = 28,733,308,743.60/164,216.08
  6. Step 6: Final answer
    x = 174,972.57

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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.