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Finding the Fourth Proportional to 200,124.98, 276,254.64 and 135,682.48

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Solution

The fourth proportional to 200,124.98, 276,254.64 and 135,682.48 is: 187,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,124.98 : 276,254.64 = 135,682.48 : x
  2. Step 2: Convert to fraction form
    200,124.98/276,254.64 = 135,682.48/x
  3. Step 3: Cross multiply
    200,124.98x = 276,254.64 × 135,682.48
  4. Step 4: Simplify right side
    200,124.98x = 37,482,913,976.07
  5. Step 5: Solve for x
    x = 37,482,913,976.07/200,124.98
  6. Step 6: Final answer
    x = 187,297.53

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1.5x scale

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.