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Finding the Fourth Proportional to 203,782.40, 305,673.60 and 56,038.40

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Solution

The fourth proportional to 203,782.40, 305,673.60 and 56,038.40 is: 84,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,782.40 : 305,673.60 = 56,038.40 : x
  2. Step 2: Convert to fraction form
    203,782.40/305,673.60 = 56,038.40/x
  3. Step 3: Cross multiply
    203,782.40x = 305,673.60 × 56,038.40
  4. Step 4: Simplify right side
    203,782.40x = 17,129,459,466.24
  5. Step 5: Solve for x
    x = 17,129,459,466.24/203,782.40
  6. Step 6: Final answer
    x = 84,057.60

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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.