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Finding the Fourth Proportional to 312,101.70, 468,152.55 and 192,254.10

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Solution

The fourth proportional to 312,101.70, 468,152.55 and 192,254.10 is: 288,381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,101.70 : 468,152.55 = 192,254.10 : x
  2. Step 2: Convert to fraction form
    312,101.70/468,152.55 = 192,254.10/x
  3. Step 3: Cross multiply
    312,101.70x = 468,152.55 × 192,254.10
  4. Step 4: Simplify right side
    312,101.70x = 90,004,247,162.96
  5. Step 5: Solve for x
    x = 90,004,247,162.96/312,101.70
  6. Step 6: Final answer
    x = 288,381.15

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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.