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Finding the Fourth Proportional to 164,963.40, 247,445.10 and 105,914.40

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Solution

The fourth proportional to 164,963.40, 247,445.10 and 105,914.40 is: 158,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,963.40 : 247,445.10 = 105,914.40 : x
  2. Step 2: Convert to fraction form
    164,963.40/247,445.10 = 105,914.40/x
  3. Step 3: Cross multiply
    164,963.40x = 247,445.10 × 105,914.40
  4. Step 4: Simplify right side
    164,963.40x = 26,207,999,299.44
  5. Step 5: Solve for x
    x = 26,207,999,299.44/164,963.40
  6. Step 6: Final answer
    x = 158,871.60

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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.