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Finding the Fourth Proportional to 257,997.87, 356,017.55 and 144,798.75

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Solution

The fourth proportional to 257,997.87, 356,017.55 and 144,798.75 is: 199,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,997.87 : 356,017.55 = 144,798.75 : x
  2. Step 2: Convert to fraction form
    257,997.87/356,017.55 = 144,798.75/x
  3. Step 3: Cross multiply
    257,997.87x = 356,017.55 × 144,798.75
  4. Step 4: Simplify right side
    257,997.87x = 51,550,895,494.07
  5. Step 5: Solve for x
    x = 51,550,895,494.07/257,997.87
  6. Step 6: Final answer
    x = 199,811.32

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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.