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Finding the Fourth Proportional to 183,316, 275,016.88 and 56,949.76

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Solution

The fourth proportional to 183,316, 275,016.88 and 56,949.76 is: 85,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,316 : 275,016.88 = 56,949.76 : x
  2. Step 2: Convert to fraction form
    183,316/275,016.88 = 56,949.76/x
  3. Step 3: Cross multiply
    183,316x = 275,016.88 × 56,949.76
  4. Step 4: Simplify right side
    183,316x = 15,662,145,311.95
  5. Step 5: Solve for x
    x = 15,662,145,311.95/183,316
  6. Step 6: Final answer
    x = 85,437.96

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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.