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Finding the Fourth Proportional to 257,098.40, 385,485.60 and 107,442.80

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Solution

The fourth proportional to 257,098.40, 385,485.60 and 107,442.80 is: 161,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,098.40 : 385,485.60 = 107,442.80 : x
  2. Step 2: Convert to fraction form
    257,098.40/385,485.60 = 107,442.80/x
  3. Step 3: Cross multiply
    257,098.40x = 385,485.60 × 107,442.80
  4. Step 4: Simplify right side
    257,098.40x = 41,417,652,223.68
  5. Step 5: Solve for x
    x = 41,417,652,223.68/257,098.40
  6. Step 6: Final answer
    x = 161,096.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.