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Finding the Fourth Proportional to 102,550.30, 153,825.37 and 52,602.59

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Solution

The fourth proportional to 102,550.30, 153,825.37 and 52,602.59 is: 78,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,550.30 : 153,825.37 = 52,602.59 : x
  2. Step 2: Convert to fraction form
    102,550.30/153,825.37 = 52,602.59/x
  3. Step 3: Cross multiply
    102,550.30x = 153,825.37 × 52,602.59
  4. Step 4: Simplify right side
    102,550.30x = 8,091,612,869.71
  5. Step 5: Solve for x
    x = 8,091,612,869.71/102,550.30
  6. Step 6: Final answer
    x = 78,903.84

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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.