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Finding the Fourth Proportional to 262,355.24, 362,048.56 and 149,178

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Solution

The fourth proportional to 262,355.24, 362,048.56 and 149,178 is: 205,864.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,355.24 : 362,048.56 = 149,178 : x
  2. Step 2: Convert to fraction form
    262,355.24/362,048.56 = 149,178/x
  3. Step 3: Cross multiply
    262,355.24x = 362,048.56 × 149,178
  4. Step 4: Simplify right side
    262,355.24x = 54,009,680,083.68
  5. Step 5: Solve for x
    x = 54,009,680,083.68/262,355.24
  6. Step 6: Final answer
    x = 205,864.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.