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Finding the Fourth Proportional to 196,776, 295,213.82 and 56,534.63

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Solution

The fourth proportional to 196,776, 295,213.82 and 56,534.63 is: 84,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,776 : 295,213.82 = 56,534.63 : x
  2. Step 2: Convert to fraction form
    196,776/295,213.82 = 56,534.63/x
  3. Step 3: Cross multiply
    196,776x = 295,213.82 × 56,534.63
  4. Step 4: Simplify right side
    196,776x = 16,689,802,325.84
  5. Step 5: Solve for x
    x = 16,689,802,325.84/196,776
  6. Step 6: Final answer
    x = 84,816.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.