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Finding the Fourth Proportional to 257,029.60, 385,285.20 and 116,888.80

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Solution

The fourth proportional to 257,029.60, 385,285.20 and 116,888.80 is: 175,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,029.60 : 385,285.20 = 116,888.80 : x
  2. Step 2: Convert to fraction form
    257,029.60/385,285.20 = 116,888.80/x
  3. Step 3: Cross multiply
    257,029.60x = 385,285.20 × 116,888.80
  4. Step 4: Simplify right side
    257,029.60x = 45,035,524,685.76
  5. Step 5: Solve for x
    x = 45,035,524,685.76/257,029.60
  6. Step 6: Final answer
    x = 175,215.32

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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.