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Finding the Fourth Proportional to 100,567.16, 150,914.37 and 56,223

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Solution

The fourth proportional to 100,567.16, 150,914.37 and 56,223 is: 84,370.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,567.16 : 150,914.37 = 56,223 : x
  2. Step 2: Convert to fraction form
    100,567.16/150,914.37 = 56,223/x
  3. Step 3: Cross multiply
    100,567.16x = 150,914.37 × 56,223
  4. Step 4: Simplify right side
    100,567.16x = 8,484,858,624.51
  5. Step 5: Solve for x
    x = 8,484,858,624.51/100,567.16
  6. Step 6: Final answer
    x = 84,370.07

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