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Finding the Fourth Proportional to 225,430.76, 337,647.66 and 154,184.48

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Solution

The fourth proportional to 225,430.76, 337,647.66 and 154,184.48 is: 230,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,430.76 : 337,647.66 = 154,184.48 : x
  2. Step 2: Convert to fraction form
    225,430.76/337,647.66 = 154,184.48/x
  3. Step 3: Cross multiply
    225,430.76x = 337,647.66 × 154,184.48
  4. Step 4: Simplify right side
    225,430.76x = 52,060,028,880.32
  5. Step 5: Solve for x
    x = 52,060,028,880.32/225,430.76
  6. Step 6: Final answer
    x = 230,935.78

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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.