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Finding the Fourth Proportional to 190,908.70, 286,290.15 and 57,744.70

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Solution

The fourth proportional to 190,908.70, 286,290.15 and 57,744.70 is: 86,595.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,908.70 : 286,290.15 = 57,744.70 : x
  2. Step 2: Convert to fraction form
    190,908.70/286,290.15 = 57,744.70/x
  3. Step 3: Cross multiply
    190,908.70x = 286,290.15 × 57,744.70
  4. Step 4: Simplify right side
    190,908.70x = 16,531,738,824.71
  5. Step 5: Solve for x
    x = 16,531,738,824.71/190,908.70
  6. Step 6: Final answer
    x = 86,595.00

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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.