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Finding the Fourth Proportional to 213,330.86, 294,358.10 and 137,835.62

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Solution

The fourth proportional to 213,330.86, 294,358.10 and 137,835.62 is: 190,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,330.86 : 294,358.10 = 137,835.62 : x
  2. Step 2: Convert to fraction form
    213,330.86/294,358.10 = 137,835.62/x
  3. Step 3: Cross multiply
    213,330.86x = 294,358.10 × 137,835.62
  4. Step 4: Simplify right side
    213,330.86x = 40,573,031,215.52
  5. Step 5: Solve for x
    x = 40,573,031,215.52/213,330.86
  6. Step 6: Final answer
    x = 190,188.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.