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Finding the Fourth Proportional to 312,164.66, 468,246.96 and 132,278.42

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Solution

The fourth proportional to 312,164.66, 468,246.96 and 132,278.42 is: 198,417.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,164.66 : 468,246.96 = 132,278.42 : x
  2. Step 2: Convert to fraction form
    312,164.66/468,246.96 = 132,278.42/x
  3. Step 3: Cross multiply
    312,164.66x = 468,246.96 × 132,278.42
  4. Step 4: Simplify right side
    312,164.66x = 61,938,968,038.60
  5. Step 5: Solve for x
    x = 61,938,968,038.60/312,164.66
  6. Step 6: Final answer
    x = 198,417.62

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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.