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Finding the Fourth Proportional to 112,286.08, 154,953.84 and 61,984

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Solution

The fourth proportional to 112,286.08, 154,953.84 and 61,984 is: 85,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,286.08 : 154,953.84 = 61,984 : x
  2. Step 2: Convert to fraction form
    112,286.08/154,953.84 = 61,984/x
  3. Step 3: Cross multiply
    112,286.08x = 154,953.84 × 61,984
  4. Step 4: Simplify right side
    112,286.08x = 9,604,658,818.56
  5. Step 5: Solve for x
    x = 9,604,658,818.56/112,286.08
  6. Step 6: Final answer
    x = 85,537.40

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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.