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Finding the Fourth Proportional to 255,683.64, 383,580.80 and 97,912.10

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Solution

The fourth proportional to 255,683.64, 383,580.80 and 97,912.10 is: 146,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,683.64 : 383,580.80 = 97,912.10 : x
  2. Step 2: Convert to fraction form
    255,683.64/383,580.80 = 97,912.10/x
  3. Step 3: Cross multiply
    255,683.64x = 383,580.80 × 97,912.10
  4. Step 4: Simplify right side
    255,683.64x = 37,557,201,647.68
  5. Step 5: Solve for x
    x = 37,557,201,647.68/255,683.64
  6. Step 6: Final answer
    x = 146,889.34

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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.