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Finding the Fourth Proportional to 152,039.94, 209,848.42 and 88,414.44

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Solution

The fourth proportional to 152,039.94, 209,848.42 and 88,414.44 is: 122,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,039.94 : 209,848.42 = 88,414.44 : x
  2. Step 2: Convert to fraction form
    152,039.94/209,848.42 = 88,414.44/x
  3. Step 3: Cross multiply
    152,039.94x = 209,848.42 × 88,414.44
  4. Step 4: Simplify right side
    152,039.94x = 18,553,630,539.18
  5. Step 5: Solve for x
    x = 18,553,630,539.18/152,039.94
  6. Step 6: Final answer
    x = 122,031.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.