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Finding the Fourth Proportional to 255,693.40, 383,540.10 and 97,840.60

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Solution

The fourth proportional to 255,693.40, 383,540.10 and 97,840.60 is: 146,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,693.40 : 383,540.10 = 97,840.60 : x
  2. Step 2: Convert to fraction form
    255,693.40/383,540.10 = 97,840.60/x
  3. Step 3: Cross multiply
    255,693.40x = 383,540.10 × 97,840.60
  4. Step 4: Simplify right side
    255,693.40x = 37,525,793,508.06
  5. Step 5: Solve for x
    x = 37,525,793,508.06/255,693.40
  6. Step 6: Final answer
    x = 146,760.90

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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.