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Finding the Fourth Proportional to 262,357.28, 362,051.28 and 149,180

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Solution

The fourth proportional to 262,357.28, 362,051.28 and 149,180 is: 205,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,357.28 : 362,051.28 = 149,180 : x
  2. Step 2: Convert to fraction form
    262,357.28/362,051.28 = 149,180/x
  3. Step 3: Cross multiply
    262,357.28x = 362,051.28 × 149,180
  4. Step 4: Simplify right side
    262,357.28x = 54,010,809,950.40
  5. Step 5: Solve for x
    x = 54,010,809,950.40/262,357.28
  6. Step 6: Final answer
    x = 205,867.40

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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.