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Finding the Fourth Proportional to 283,272.42, 424,762.20 and 83,567.34

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Solution

The fourth proportional to 283,272.42, 424,762.20 and 83,567.34 is: 125,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,272.42 : 424,762.20 = 83,567.34 : x
  2. Step 2: Convert to fraction form
    283,272.42/424,762.20 = 83,567.34/x
  3. Step 3: Cross multiply
    283,272.42x = 424,762.20 × 83,567.34
  4. Step 4: Simplify right side
    283,272.42x = 35,496,247,186.55
  5. Step 5: Solve for x
    x = 35,496,247,186.55/283,272.42
  6. Step 6: Final answer
    x = 125,307.81

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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.