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Finding the Fourth Proportional to 312,527.63, 468,824.39 and 102,165.23

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Solution

The fourth proportional to 312,527.63, 468,824.39 and 102,165.23 is: 153,258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,527.63 : 468,824.39 = 102,165.23 : x
  2. Step 2: Convert to fraction form
    312,527.63/468,824.39 = 102,165.23/x
  3. Step 3: Cross multiply
    312,527.63x = 468,824.39 × 102,165.23
  4. Step 4: Simplify right side
    312,527.63x = 47,897,551,633.96
  5. Step 5: Solve for x
    x = 47,897,551,633.96/312,527.63
  6. Step 6: Final answer
    x = 153,258.61

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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.