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Finding the Fourth Proportional to 194,718.60, 292,077.90 and 119,923.20

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Solution

The fourth proportional to 194,718.60, 292,077.90 and 119,923.20 is: 179,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,718.60 : 292,077.90 = 119,923.20 : x
  2. Step 2: Convert to fraction form
    194,718.60/292,077.90 = 119,923.20/x
  3. Step 3: Cross multiply
    194,718.60x = 292,077.90 × 119,923.20
  4. Step 4: Simplify right side
    194,718.60x = 35,026,916,417.28
  5. Step 5: Solve for x
    x = 35,026,916,417.28/194,718.60
  6. Step 6: Final answer
    x = 179,884.80

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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.