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Finding the Fourth Proportional to 132,953.63, 199,318.59 and 61,840.13

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Solution

The fourth proportional to 132,953.63, 199,318.59 and 61,840.13 is: 92,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,953.63 : 199,318.59 = 61,840.13 : x
  2. Step 2: Convert to fraction form
    132,953.63/199,318.59 = 61,840.13/x
  3. Step 3: Cross multiply
    132,953.63x = 199,318.59 × 61,840.13
  4. Step 4: Simplify right side
    132,953.63x = 12,325,886,520.42
  5. Step 5: Solve for x
    x = 12,325,886,520.42/132,953.63
  6. Step 6: Final answer
    x = 92,708.16

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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.