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Finding the Fourth Proportional to 257,537.49, 386,361.63 and 86,776.20

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Solution

The fourth proportional to 257,537.49, 386,361.63 and 86,776.20 is: 130,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,537.49 : 386,361.63 = 86,776.20 : x
  2. Step 2: Convert to fraction form
    257,537.49/386,361.63 = 86,776.20/x
  3. Step 3: Cross multiply
    257,537.49x = 386,361.63 × 86,776.20
  4. Step 4: Simplify right side
    257,537.49x = 33,526,994,077.21
  5. Step 5: Solve for x
    x = 33,526,994,077.21/257,537.49
  6. Step 6: Final answer
    x = 130,182.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.