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Finding the Fourth Proportional to 190,507.93, 285,772.70 and 57,406.57

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Solution

The fourth proportional to 190,507.93, 285,772.70 and 57,406.57 is: 86,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,507.93 : 285,772.70 = 57,406.57 : x
  2. Step 2: Convert to fraction form
    190,507.93/285,772.70 = 57,406.57/x
  3. Step 3: Cross multiply
    190,507.93x = 285,772.70 × 57,406.57
  4. Step 4: Simplify right side
    190,507.93x = 16,405,230,219.61
  5. Step 5: Solve for x
    x = 16,405,230,219.61/190,507.93
  6. Step 6: Final answer
    x = 86,113.11

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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.