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Finding the Fourth Proportional to 116,412.60, 174,695.70 and 42,540.60

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Solution

The fourth proportional to 116,412.60, 174,695.70 and 42,540.60 is: 63,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,412.60 : 174,695.70 = 42,540.60 : x
  2. Step 2: Convert to fraction form
    116,412.60/174,695.70 = 42,540.60/x
  3. Step 3: Cross multiply
    116,412.60x = 174,695.70 × 42,540.60
  4. Step 4: Simplify right side
    116,412.60x = 7,431,659,895.42
  5. Step 5: Solve for x
    x = 7,431,659,895.42/116,412.60
  6. Step 6: Final answer
    x = 63,838.96

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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.