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Finding the Fourth Proportional to 161,577.94, 242,257.56 and 56,339.50

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Solution

The fourth proportional to 161,577.94, 242,257.56 and 56,339.50 is: 84,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,577.94 : 242,257.56 = 56,339.50 : x
  2. Step 2: Convert to fraction form
    161,577.94/242,257.56 = 56,339.50/x
  3. Step 3: Cross multiply
    161,577.94x = 242,257.56 × 56,339.50
  4. Step 4: Simplify right side
    161,577.94x = 13,648,669,801.62
  5. Step 5: Solve for x
    x = 13,648,669,801.62/161,577.94
  6. Step 6: Final answer
    x = 84,471.12

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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.