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Finding the Fourth Proportional to 161,459.82, 242,187.72 and 56,278.44

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Solution

The fourth proportional to 161,459.82, 242,187.72 and 56,278.44 is: 84,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,459.82 : 242,187.72 = 56,278.44 : x
  2. Step 2: Convert to fraction form
    161,459.82/242,187.72 = 56,278.44/x
  3. Step 3: Cross multiply
    161,459.82x = 242,187.72 × 56,278.44
  4. Step 4: Simplify right side
    161,459.82x = 13,629,947,068.76
  5. Step 5: Solve for x
    x = 13,629,947,068.76/161,459.82
  6. Step 6: Final answer
    x = 84,416.96

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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.