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Finding the Fourth Proportional to 114,476.40, 171,714.60 and 97,563.60

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Solution

The fourth proportional to 114,476.40, 171,714.60 and 97,563.60 is: 146,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,476.40 : 171,714.60 = 97,563.60 : x
  2. Step 2: Convert to fraction form
    114,476.40/171,714.60 = 97,563.60/x
  3. Step 3: Cross multiply
    114,476.40x = 171,714.60 × 97,563.60
  4. Step 4: Simplify right side
    114,476.40x = 16,753,094,548.56
  5. Step 5: Solve for x
    x = 16,753,094,548.56/114,476.40
  6. Step 6: Final answer
    x = 146,345.40

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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.