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Finding the Fourth Proportional to 133,225.59, 199,832.90 and 74,023.50

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Solution

The fourth proportional to 133,225.59, 199,832.90 and 74,023.50 is: 111,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,225.59 : 199,832.90 = 74,023.50 : x
  2. Step 2: Convert to fraction form
    133,225.59/199,832.90 = 74,023.50/x
  3. Step 3: Cross multiply
    133,225.59x = 199,832.90 × 74,023.50
  4. Step 4: Simplify right side
    133,225.59x = 14,792,330,303.03
  5. Step 5: Solve for x
    x = 14,792,330,303.03/133,225.59
  6. Step 6: Final answer
    x = 111,032.20

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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.