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Finding the Fourth Proportional to 272,877.62, 409,307.19 and 83,330.33

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Solution

The fourth proportional to 272,877.62, 409,307.19 and 83,330.33 is: 124,992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,877.62 : 409,307.19 = 83,330.33 : x
  2. Step 2: Convert to fraction form
    272,877.62/409,307.19 = 83,330.33/x
  3. Step 3: Cross multiply
    272,877.62x = 409,307.19 × 83,330.33
  4. Step 4: Simplify right side
    272,877.62x = 34,107,701,167.54
  5. Step 5: Solve for x
    x = 34,107,701,167.54/272,877.62
  6. Step 6: Final answer
    x = 124,992.67

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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.