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Finding the Fourth Proportional to 194,729.60, 292,094.40 and 119,934.20

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Solution

The fourth proportional to 194,729.60, 292,094.40 and 119,934.20 is: 179,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,729.60 : 292,094.40 = 119,934.20 : x
  2. Step 2: Convert to fraction form
    194,729.60/292,094.40 = 119,934.20/x
  3. Step 3: Cross multiply
    194,729.60x = 292,094.40 × 119,934.20
  4. Step 4: Simplify right side
    194,729.60x = 35,032,108,188.48
  5. Step 5: Solve for x
    x = 35,032,108,188.48/194,729.60
  6. Step 6: Final answer
    x = 179,901.30

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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.