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Finding the Fourth Proportional to 768,142.40, 1,152,213.60 and 207,176.80

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Solution

The fourth proportional to 768,142.40, 1,152,213.60 and 207,176.80 is: 310,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,142.40 : 1,152,213.60 = 207,176.80 : x
  2. Step 2: Convert to fraction form
    768,142.40/1,152,213.60 = 207,176.80/x
  3. Step 3: Cross multiply
    768,142.40x = 1,152,213.60 × 207,176.80
  4. Step 4: Simplify right side
    768,142.40x = 238,711,926,564.48
  5. Step 5: Solve for x
    x = 238,711,926,564.48/768,142.40
  6. Step 6: Final answer
    x = 310,765.20

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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.