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Finding the Fourth Proportional to 230,818.40, 346,223.96 and 118,433.74

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Solution

The fourth proportional to 230,818.40, 346,223.96 and 118,433.74 is: 177,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,818.40 : 346,223.96 = 118,433.74 : x
  2. Step 2: Convert to fraction form
    230,818.40/346,223.96 = 118,433.74/x
  3. Step 3: Cross multiply
    230,818.40x = 346,223.96 × 118,433.74
  4. Step 4: Simplify right side
    230,818.40x = 41,004,598,460.41
  5. Step 5: Solve for x
    x = 41,004,598,460.41/230,818.40
  6. Step 6: Final answer
    x = 177,648.74

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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.