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Finding the Fourth Proportional to 202,133.60, 303,394.80 and 102,406.40

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Solution

The fourth proportional to 202,133.60, 303,394.80 and 102,406.40 is: 153,708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,133.60 : 303,394.80 = 102,406.40 : x
  2. Step 2: Convert to fraction form
    202,133.60/303,394.80 = 102,406.40/x
  3. Step 3: Cross multiply
    202,133.60x = 303,394.80 × 102,406.40
  4. Step 4: Simplify right side
    202,133.60x = 31,069,569,246.72
  5. Step 5: Solve for x
    x = 31,069,569,246.72/202,133.60
  6. Step 6: Final answer
    x = 153,708.09

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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.