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Finding the Fourth Proportional to 102,352.30, 153,528.60 and 52,405.17

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Solution

The fourth proportional to 102,352.30, 153,528.60 and 52,405.17 is: 78,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,352.30 : 153,528.60 = 52,405.17 : x
  2. Step 2: Convert to fraction form
    102,352.30/153,528.60 = 52,405.17/x
  3. Step 3: Cross multiply
    102,352.30x = 153,528.60 × 52,405.17
  4. Step 4: Simplify right side
    102,352.30x = 8,045,692,382.86
  5. Step 5: Solve for x
    x = 8,045,692,382.86/102,352.30
  6. Step 6: Final answer
    x = 78,607.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.