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Finding the Fourth Proportional to 112,096.16, 154,692.56 and 61,796

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Solution

The fourth proportional to 112,096.16, 154,692.56 and 61,796 is: 85,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,096.16 : 154,692.56 = 61,796 : x
  2. Step 2: Convert to fraction form
    112,096.16/154,692.56 = 61,796/x
  3. Step 3: Cross multiply
    112,096.16x = 154,692.56 × 61,796
  4. Step 4: Simplify right side
    112,096.16x = 9,559,381,437.76
  5. Step 5: Solve for x
    x = 9,559,381,437.76/112,096.16
  6. Step 6: Final answer
    x = 85,278.40

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