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Finding the Fourth Proportional to 78,203.34, 117,287.04 and 46,622.34

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Solution

The fourth proportional to 78,203.34, 117,287.04 and 46,622.34 is: 69,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,203.34 : 117,287.04 = 46,622.34 : x
  2. Step 2: Convert to fraction form
    78,203.34/117,287.04 = 46,622.34/x
  3. Step 3: Cross multiply
    78,203.34x = 117,287.04 × 46,622.34
  4. Step 4: Simplify right side
    78,203.34x = 5,468,196,256.47
  5. Step 5: Solve for x
    x = 5,468,196,256.47/78,203.34
  6. Step 6: Final answer
    x = 69,922.80

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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.