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Finding the Fourth Proportional to 152,402.30, 228,085.05 and 133,739.90

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Solution

The fourth proportional to 152,402.30, 228,085.05 and 133,739.90 is: 200,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,402.30 : 228,085.05 = 133,739.90 : x
  2. Step 2: Convert to fraction form
    152,402.30/228,085.05 = 133,739.90/x
  3. Step 3: Cross multiply
    152,402.30x = 228,085.05 × 133,739.90
  4. Step 4: Simplify right side
    152,402.30x = 30,504,071,778.50
  5. Step 5: Solve for x
    x = 30,504,071,778.50/152,402.30
  6. Step 6: Final answer
    x = 200,154.93

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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.