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Finding the Fourth Proportional to 200,018.04, 276,027.84 and 135,507

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Solution

The fourth proportional to 200,018.04, 276,027.84 and 135,507 is: 187,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,018.04 : 276,027.84 = 135,507 : x
  2. Step 2: Convert to fraction form
    200,018.04/276,027.84 = 135,507/x
  3. Step 3: Cross multiply
    200,018.04x = 276,027.84 × 135,507
  4. Step 4: Simplify right side
    200,018.04x = 37,403,704,514.88
  5. Step 5: Solve for x
    x = 37,403,704,514.88/200,018.04
  6. Step 6: Final answer
    x = 187,001.66

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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.