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Finding the Fourth Proportional to 312,262.36, 468,442.50 and 101,851.72

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Solution

The fourth proportional to 312,262.36, 468,442.50 and 101,851.72 is: 152,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,262.36 : 468,442.50 = 101,851.72 : x
  2. Step 2: Convert to fraction form
    312,262.36/468,442.50 = 101,851.72/x
  3. Step 3: Cross multiply
    312,262.36x = 468,442.50 × 101,851.72
  4. Step 4: Simplify right side
    312,262.36x = 47,711,674,346.10
  5. Step 5: Solve for x
    x = 47,711,674,346.10/312,262.36
  6. Step 6: Final answer
    x = 152,793.55

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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.