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Finding the Fourth Proportional to 157,683.67, 236,384.79 and 57,820.54

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Solution

The fourth proportional to 157,683.67, 236,384.79 and 57,820.54 is: 86,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,683.67 : 236,384.79 = 57,820.54 : x
  2. Step 2: Convert to fraction form
    157,683.67/236,384.79 = 57,820.54/x
  3. Step 3: Cross multiply
    157,683.67x = 236,384.79 × 57,820.54
  4. Step 4: Simplify right side
    157,683.67x = 13,667,896,205.59
  5. Step 5: Solve for x
    x = 13,667,896,205.59/157,683.67
  6. Step 6: Final answer
    x = 86,679.21

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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.