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Finding the Fourth Proportional to 133,054.90, 199,728.15 and 83,191.30

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Solution

The fourth proportional to 133,054.90, 199,728.15 and 83,191.30 is: 124,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,054.90 : 199,728.15 = 83,191.30 : x
  2. Step 2: Convert to fraction form
    133,054.90/199,728.15 = 83,191.30/x
  3. Step 3: Cross multiply
    133,054.90x = 199,728.15 × 83,191.30
  4. Step 4: Simplify right side
    133,054.90x = 16,615,644,445.10
  5. Step 5: Solve for x
    x = 16,615,644,445.10/133,054.90
  6. Step 6: Final answer
    x = 124,878.11

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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.