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Finding the Fourth Proportional to 107,123.96, 147,835.92 and 61,187.64

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Solution

The fourth proportional to 107,123.96, 147,835.92 and 61,187.64 is: 84,441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,123.96 : 147,835.92 = 61,187.64 : x
  2. Step 2: Convert to fraction form
    107,123.96/147,835.92 = 61,187.64/x
  3. Step 3: Cross multiply
    107,123.96x = 147,835.92 × 61,187.64
  4. Step 4: Simplify right side
    107,123.96x = 9,045,731,052.03
  5. Step 5: Solve for x
    x = 9,045,731,052.03/107,123.96
  6. Step 6: Final answer
    x = 84,441.72

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Why These Related Problems?

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