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Finding the Fourth Proportional to 233,278.11, 350,104.01 and 120,990.51

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Solution

The fourth proportional to 233,278.11, 350,104.01 and 120,990.51 is: 181,582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,278.11 : 350,104.01 = 120,990.51 : x
  2. Step 2: Convert to fraction form
    233,278.11/350,104.01 = 120,990.51/x
  3. Step 3: Cross multiply
    233,278.11x = 350,104.01 × 120,990.51
  4. Step 4: Simplify right side
    233,278.11x = 42,359,262,117.99
  5. Step 5: Solve for x
    x = 42,359,262,117.99/233,278.11
  6. Step 6: Final answer
    x = 181,582.67

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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.