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Finding the Fourth Proportional to 194,802.60, 292,203.90 and 172,495.20

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Solution

The fourth proportional to 194,802.60, 292,203.90 and 172,495.20 is: 258,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,802.60 : 292,203.90 = 172,495.20 : x
  2. Step 2: Convert to fraction form
    194,802.60/292,203.90 = 172,495.20/x
  3. Step 3: Cross multiply
    194,802.60x = 292,203.90 × 172,495.20
  4. Step 4: Simplify right side
    194,802.60x = 50,403,770,171.28
  5. Step 5: Solve for x
    x = 50,403,770,171.28/194,802.60
  6. Step 6: Final answer
    x = 258,742.80

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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.