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Finding the Fourth Proportional to 145,854.40, 218,781.60 and 131,857.60

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Solution

The fourth proportional to 145,854.40, 218,781.60 and 131,857.60 is: 197,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,854.40 : 218,781.60 = 131,857.60 : x
  2. Step 2: Convert to fraction form
    145,854.40/218,781.60 = 131,857.60/x
  3. Step 3: Cross multiply
    145,854.40x = 218,781.60 × 131,857.60
  4. Step 4: Simplify right side
    145,854.40x = 28,848,016,700.16
  5. Step 5: Solve for x
    x = 28,848,016,700.16/145,854.40
  6. Step 6: Final answer
    x = 197,786.40

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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.