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Finding the Fourth Proportional to 273,041.12, 409,558.44 and 86,051

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Solution

The fourth proportional to 273,041.12, 409,558.44 and 86,051 is: 129,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,041.12 : 409,558.44 = 86,051 : x
  2. Step 2: Convert to fraction form
    273,041.12/409,558.44 = 86,051/x
  3. Step 3: Cross multiply
    273,041.12x = 409,558.44 × 86,051
  4. Step 4: Simplify right side
    273,041.12x = 35,242,913,320.44
  5. Step 5: Solve for x
    x = 35,242,913,320.44/273,041.12
  6. Step 6: Final answer
    x = 129,075.48

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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.