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Finding the Fourth Proportional to 194,802.60, 292,203.90 and 110,821.80

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Solution

The fourth proportional to 194,802.60, 292,203.90 and 110,821.80 is: 166,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,802.60 : 292,203.90 = 110,821.80 : x
  2. Step 2: Convert to fraction form
    194,802.60/292,203.90 = 110,821.80/x
  3. Step 3: Cross multiply
    194,802.60x = 292,203.90 × 110,821.80
  4. Step 4: Simplify right side
    194,802.60x = 32,382,562,165.02
  5. Step 5: Solve for x
    x = 32,382,562,165.02/194,802.60
  6. Step 6: Final answer
    x = 166,232.70

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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.