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Finding the Fourth Proportional to 262,705.26, 362,533.66 and 149,528

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Solution

The fourth proportional to 262,705.26, 362,533.66 and 149,528 is: 206,348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,705.26 : 362,533.66 = 149,528 : x
  2. Step 2: Convert to fraction form
    262,705.26/362,533.66 = 149,528/x
  3. Step 3: Cross multiply
    262,705.26x = 362,533.66 × 149,528
  4. Step 4: Simplify right side
    262,705.26x = 54,208,933,112.48
  5. Step 5: Solve for x
    x = 54,208,933,112.48/262,705.26
  6. Step 6: Final answer
    x = 206,348.87

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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.