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Finding the Fourth Proportional to 133,225.09, 199,832.14 and 74,023

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Solution

The fourth proportional to 133,225.09, 199,832.14 and 74,023 is: 111,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,225.09 : 199,832.14 = 74,023 : x
  2. Step 2: Convert to fraction form
    133,225.09/199,832.14 = 74,023/x
  3. Step 3: Cross multiply
    133,225.09x = 199,832.14 × 74,023
  4. Step 4: Simplify right side
    133,225.09x = 14,792,174,499.22
  5. Step 5: Solve for x
    x = 14,792,174,499.22/133,225.09
  6. Step 6: Final answer
    x = 111,031.45

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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.