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Finding the Fourth Proportional to 163,893.82, 245,878.76 and 51,571.12

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Solution

The fourth proportional to 163,893.82, 245,878.76 and 51,571.12 is: 77,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,893.82 : 245,878.76 = 51,571.12 : x
  2. Step 2: Convert to fraction form
    163,893.82/245,878.76 = 51,571.12/x
  3. Step 3: Cross multiply
    163,893.82x = 245,878.76 × 51,571.12
  4. Step 4: Simplify right side
    163,893.82x = 12,680,242,563.26
  5. Step 5: Solve for x
    x = 12,680,242,563.26/163,893.82
  6. Step 6: Final answer
    x = 77,368.64

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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.