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Finding the Fourth Proportional to 190,871.70, 286,234.65 and 57,707.70

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Solution

The fourth proportional to 190,871.70, 286,234.65 and 57,707.70 is: 86,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,871.70 : 286,234.65 = 57,707.70 : x
  2. Step 2: Convert to fraction form
    190,871.70/286,234.65 = 57,707.70/x
  3. Step 3: Cross multiply
    190,871.70x = 286,234.65 × 57,707.70
  4. Step 4: Simplify right side
    190,871.70x = 16,517,943,311.81
  5. Step 5: Solve for x
    x = 16,517,943,311.81/190,871.70
  6. Step 6: Final answer
    x = 86,539.51

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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.