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Finding the Fourth Proportional to 262,357.79, 362,053.70 and 149,180.54

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Solution

The fourth proportional to 262,357.79, 362,053.70 and 149,180.54 is: 205,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,357.79 : 362,053.70 = 149,180.54 : x
  2. Step 2: Convert to fraction form
    262,357.79/362,053.70 = 149,180.54/x
  3. Step 3: Cross multiply
    262,357.79x = 362,053.70 × 149,180.54
  4. Step 4: Simplify right side
    262,357.79x = 54,011,364,478.25
  5. Step 5: Solve for x
    x = 54,011,364,478.25/262,357.79
  6. Step 6: Final answer
    x = 205,869.11

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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.