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Finding the Fourth Proportional to 296,930.32, 445,308.36 and 83,683.96

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Solution

The fourth proportional to 296,930.32, 445,308.36 and 83,683.96 is: 125,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,930.32 : 445,308.36 = 83,683.96 : x
  2. Step 2: Convert to fraction form
    296,930.32/445,308.36 = 83,683.96/x
  3. Step 3: Cross multiply
    296,930.32x = 445,308.36 × 83,683.96
  4. Step 4: Simplify right side
    296,930.32x = 37,265,166,985.91
  5. Step 5: Solve for x
    x = 37,265,166,985.91/296,930.32
  6. Step 6: Final answer
    x = 125,501.39

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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.