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Finding the Fourth Proportional to 114,285.16, 171,308.58 and 47,763.64

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Solution

The fourth proportional to 114,285.16, 171,308.58 and 47,763.64 is: 71,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,285.16 : 171,308.58 = 47,763.64 : x
  2. Step 2: Convert to fraction form
    114,285.16/171,308.58 = 47,763.64/x
  3. Step 3: Cross multiply
    114,285.16x = 171,308.58 × 47,763.64
  4. Step 4: Simplify right side
    114,285.16x = 8,182,321,344.03
  5. Step 5: Solve for x
    x = 8,182,321,344.03/114,285.16
  6. Step 6: Final answer
    x = 71,595.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.