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Finding the Fourth Proportional to 257,877.60, 386,816.40 and 147,285.60

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Solution

The fourth proportional to 257,877.60, 386,816.40 and 147,285.60 is: 220,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,877.60 : 386,816.40 = 147,285.60 : x
  2. Step 2: Convert to fraction form
    257,877.60/386,816.40 = 147,285.60/x
  3. Step 3: Cross multiply
    257,877.60x = 386,816.40 × 147,285.60
  4. Step 4: Simplify right side
    257,877.60x = 56,972,485,563.84
  5. Step 5: Solve for x
    x = 56,972,485,563.84/257,877.60
  6. Step 6: Final answer
    x = 220,928.40

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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.