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Finding the Fourth Proportional to 130,646.94, 180,286.23 and 74,056.86

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Solution

The fourth proportional to 130,646.94, 180,286.23 and 74,056.86 is: 102,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,646.94 : 180,286.23 = 74,056.86 : x
  2. Step 2: Convert to fraction form
    130,646.94/180,286.23 = 74,056.86/x
  3. Step 3: Cross multiply
    130,646.94x = 180,286.23 × 74,056.86
  4. Step 4: Simplify right side
    130,646.94x = 13,351,432,095.04
  5. Step 5: Solve for x
    x = 13,351,432,095.04/130,646.94
  6. Step 6: Final answer
    x = 102,194.76

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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.