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Finding the Fourth Proportional to 165,300.36, 247,955.22 and 40,641

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Solution

The fourth proportional to 165,300.36, 247,955.22 and 40,641 is: 60,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,300.36 : 247,955.22 = 40,641 : x
  2. Step 2: Convert to fraction form
    165,300.36/247,955.22 = 40,641/x
  3. Step 3: Cross multiply
    165,300.36x = 247,955.22 × 40,641
  4. Step 4: Simplify right side
    165,300.36x = 10,077,148,096.02
  5. Step 5: Solve for x
    x = 10,077,148,096.02/165,300.36
  6. Step 6: Final answer
    x = 60,962.65

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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.