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Finding the Fourth Proportional to 202,289.60, 303,628.80 and 102,562.40

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Solution

The fourth proportional to 202,289.60, 303,628.80 and 102,562.40 is: 153,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,289.60 : 303,628.80 = 102,562.40 : x
  2. Step 2: Convert to fraction form
    202,289.60/303,628.80 = 102,562.40/x
  3. Step 3: Cross multiply
    202,289.60x = 303,628.80 × 102,562.40
  4. Step 4: Simplify right side
    202,289.60x = 31,140,898,437.12
  5. Step 5: Solve for x
    x = 31,140,898,437.12/202,289.60
  6. Step 6: Final answer
    x = 153,942.16

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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.