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Finding the Fourth Proportional to 257,233.60, 385,720.80 and 152,084.80

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Solution

The fourth proportional to 257,233.60, 385,720.80 and 152,084.80 is: 228,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,233.60 : 385,720.80 = 152,084.80 : x
  2. Step 2: Convert to fraction form
    257,233.60/385,720.80 = 152,084.80/x
  3. Step 3: Cross multiply
    257,233.60x = 385,720.80 × 152,084.80
  4. Step 4: Simplify right side
    257,233.60x = 58,662,270,723.84
  5. Step 5: Solve for x
    x = 58,662,270,723.84/257,233.60
  6. Step 6: Final answer
    x = 228,050.58

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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.