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Finding the Fourth Proportional to 194,180.92, 291,384.60 and 81,854.26

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Solution

The fourth proportional to 194,180.92, 291,384.60 and 81,854.26 is: 122,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,180.92 : 291,384.60 = 81,854.26 : x
  2. Step 2: Convert to fraction form
    194,180.92/291,384.60 = 81,854.26/x
  3. Step 3: Cross multiply
    194,180.92x = 291,384.60 × 81,854.26
  4. Step 4: Simplify right side
    194,180.92x = 23,851,070,808.40
  5. Step 5: Solve for x
    x = 23,851,070,808.40/194,180.92
  6. Step 6: Final answer
    x = 122,829.12

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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.